Une relecture de plus ne fait jamais de mal

This commit is contained in:
2024-08-20 01:09:56 +02:00
parent c22581c3a0
commit 1bfa214cde
6 changed files with 50 additions and 48 deletions
@@ -1 +1 @@
{"graph":{"latexPreamble":"\\newcommand{\\coqproof}[1]{\\checkmark}","tabs":[{"active":true,"edges":[{"from":0,"id":9,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":10,"label":{"kind":"normal","label":"(R_0^i Z)_p","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":11,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":3,"id":12,"label":{"kind":"normal","label":"\\Cstr^Z","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":4,"id":13,"label":{"kind":"normal","label":"y","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":4,"id":14,"label":{"kind":"normal","label":"\\phi_{XYZ}(f)_2","style":{"alignment":"left","bend":0.1,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":15,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":6},{"from":7,"id":16,"label":{"kind":"normal","label":"(R_0^{i-1}\\left\\{g,\\square\\right\\})_\\El","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":17,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":6},"to":8},{"from":8,"id":18,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^i\\left\\{g,\\square\\right\\}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":5,"id":19,"label":{"kind":"normal","label":"H_iF_{i-1}g","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":4,"id":20,"label":{"kind":"normal","label":"h","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":21,"label":{"kind":"normal","label":"\\square_\\El","style":{"alignment":"left","bend":-0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":6,"id":22,"label":{"kind":"normal","label":"(\\inj_2^{i-1})_\\El","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":7},{"from":11,"id":23,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":9}],"nodes":[{"id":0,"label":{"isMath":true,"label":"E(Z)","pos":[473,329.8125],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"(R_0^i Z)_\\El","pos":[632,329.8125],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"(R_0^i Z)_\\UU","pos":[632,459.8125],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z","pos":[473,459.8125],"zindex":-10000}},{"id":4,"label":{"isMath":true,"label":"Y","pos":[108,167.8125],"zindex":0}},{"id":5,"label":{"isMath":true,"label":"H_iF_{i-1}X","pos":[108,329.8125],"zindex":0}},{"id":6,"label":{"isMath":true,"label":"(K_{H_iF_{i-1}}(X,Y))_\\El","pos":[108,87.8125],"zindex":0}},{"id":7,"label":{"isMath":true,"label":"R_0^{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))_\\El","pos":[632,167.8125],"zindex":0}},{"id":8,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i(W(X,Y))","pos":[182,459.8125],"zindex":-10000}}],"sizeGrid":200,"title":"1"}]},"version":12}
{"graph":{"latexPreamble":"\\newcommand{\\coqproof}[1]{\\checkmark}","tabs":[{"active":true,"edges":[{"from":0,"id":9,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":10,"label":{"kind":"normal","label":"(R_0^i Z)_p","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":11,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":3,"id":12,"label":{"kind":"normal","label":"\\Cstr^Z","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":4,"id":13,"label":{"kind":"normal","label":"y","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":4,"id":14,"label":{"kind":"normal","label":"\\phi_{XYZ}(f)_2","style":{"alignment":"right","bend":0.1,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.4,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":15,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":6},{"from":7,"id":16,"label":{"kind":"normal","label":"(R_0^{i-1}\\left\\{g,\\square\\right\\})_\\El","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":17,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":6},"to":8},{"from":8,"id":18,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^i\\left\\{g,\\square\\right\\}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":5,"id":19,"label":{"kind":"normal","label":"H_iF_{i-1}g","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":4,"id":20,"label":{"kind":"normal","label":"h","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":21,"label":{"kind":"normal","label":"\\square_\\El","style":{"alignment":"left","bend":-0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":6,"id":22,"label":{"kind":"normal","label":"(\\inj_2^{i-1})_\\El","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":7},{"from":11,"id":23,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":9}],"nodes":[{"id":0,"label":{"isMath":true,"label":"E(Z)","pos":[473,329.8125],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"(R_0^i Z)_\\El","pos":[632,329.8125],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"(R_0^i Z)_\\UU","pos":[632,459.8125],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z","pos":[473,459.8125],"zindex":-10000}},{"id":4,"label":{"isMath":true,"label":"Y","pos":[108,167.8125],"zindex":0}},{"id":5,"label":{"isMath":true,"label":"H_iF_{i-1}X","pos":[108,329.8125],"zindex":0}},{"id":6,"label":{"isMath":true,"label":"(K_{H_iF_{i-1}}(X,Y))_\\El","pos":[108,87.8125],"zindex":0}},{"id":7,"label":{"isMath":true,"label":"R_0^{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))_\\El","pos":[632,167.8125],"zindex":0}},{"id":8,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i(W(X,Y))","pos":[182,459.8125],"zindex":-10000}}],"sizeGrid":200,"title":"1"}]},"version":12}
@@ -1 +1 @@
{"graph":{"latexPreamble":"\\newcommand{\\coqproof}[1]{\\checkmark}","tabs":[{"active":true,"edges":[{"from":0,"id":9,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":10,"label":{"kind":"normal","label":"(R_0^i Z)_p","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":11,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":3,"id":12,"label":{"kind":"normal","label":"\\Cstr^Z","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":4,"id":13,"label":{"kind":"normal","label":"y","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":4,"id":14,"label":{"kind":"normal","label":"\\phi_{XYZ}(f)_2","style":{"alignment":"left","bend":0,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":15,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":6},{"from":7,"id":16,"label":{"kind":"normal","label":"(R_0^{i-1}f)_\\El","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":17,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_0^{i-1}","style":{"alignment":"left","bend":0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":6},"to":8},{"from":8,"id":18,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^if","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":6,"id":19,"label":{"kind":"normal","label":"\\inj_2^{i-1}","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":7},{"from":11,"id":20,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":9}],"nodes":[{"id":0,"label":{"isMath":true,"label":"E(Z)","pos":[440,222],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"(R_0^i Z)_\\El","pos":[600,222],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"(R_0^i Z)_\\UU","pos":[600,382],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z","pos":[440,382],"zindex":-10000}},{"id":4,"label":{"isMath":true,"label":"Y","pos":[40,121],"zindex":0}},{"id":5,"label":{"isMath":true,"label":"H_iF_{i-1}X","pos":[40,222],"zindex":0}},{"id":6,"label":{"isMath":true,"label":"(K_{H_iF_{i-1}}(X,Y))_\\El","pos":[40,40],"zindex":0}},{"id":7,"label":{"isMath":true,"label":"R_0^{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))_\\El","pos":[600,132],"zindex":0}},{"id":8,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i(W(X,Y))","pos":[200,382],"zindex":-10000}}],"sizeGrid":80,"title":"1"}]},"version":12}
{"graph":{"latexPreamble":"\\newcommand{\\coqproof}[1]{\\checkmark}","tabs":[{"active":true,"edges":[{"from":0,"id":9,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":10,"label":{"kind":"normal","label":"(R_0^i Z)_p","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":11,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":3,"id":12,"label":{"kind":"normal","label":"\\Cstr^Z","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":4,"id":13,"label":{"kind":"normal","label":"y","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":4,"id":14,"label":{"kind":"normal","label":"\\phi_{XYZ}(f)_2","style":{"alignment":"left","bend":0,"color":"black","dashed":true,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":0},"to":0},{"from":4,"id":15,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":6},{"from":7,"id":16,"label":{"kind":"normal","label":"(R_0^{i-1}f)_\\El","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":17,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0.2,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.6,"tail":"none"},"zindex":6},"to":8},{"from":8,"id":18,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^if","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":6,"id":19,"label":{"kind":"normal","label":"\\inj_2^{i-1}","style":{"alignment":"left","bend":-0.1,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":7},{"from":11,"id":20,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":9}],"nodes":[{"id":0,"label":{"isMath":true,"label":"E(Z)","pos":[409,222],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"(R_0^i Z)_\\El","pos":[569,222],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"(R_0^i Z)_\\UU","pos":[569,375],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z","pos":[409,375],"zindex":-10000}},{"id":4,"label":{"isMath":true,"label":"Y","pos":[40,121],"zindex":0}},{"id":5,"label":{"isMath":true,"label":"H_iF_{i-1}X","pos":[40,222],"zindex":0}},{"id":6,"label":{"isMath":true,"label":"(K_{H_iF_{i-1}}(X,Y))_\\El","pos":[40,40],"zindex":0}},{"id":7,"label":{"isMath":true,"label":"R_0^{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))_\\El","pos":[569,132],"zindex":0}},{"id":8,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i(W(X,Y))","pos":[125,375],"zindex":-10000}}],"sizeGrid":80,"title":"1"}]},"version":12}
@@ -1 +1 @@
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":3,"label":{"kind":"normal","label":"\\eta^{FG}_{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":4,"label":{"kind":"normal","label":"F_{i-1}(\\inj_1^{i-1})","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":5,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":6,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2}],"nodes":[{"id":0,"label":{"isMath":true,"label":"X","pos":[100,100],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"F_{i-1}G_{i-1}X","pos":[300,100],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"F_{i-1}(G_{i-1}X \\tl^{i-1}K_\\bullet(G_{i-1}X,(B,H_i\\eta_{i-1}\\circ g)))","pos":[626,100],"zindex":0}}],"sizeGrid":200,"title":"1"}]},"version":12}
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":3,"label":{"kind":"normal","label":"\\eta_{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":4,"label":{"kind":"normal","label":"F_{i-1}(\\inj_1^{i-1})","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":5,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":6,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2}],"nodes":[{"id":0,"label":{"isMath":true,"label":"X","pos":[100,100],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"F_{i-1}G_{i-1}X","pos":[300,100],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"F_{i-1}(G_{i-1}X \\tl^{i-1}K_\\bullet(G_{i-1}X,(B,H_i\\eta_{i-1}\\circ g)))","pos":[626,100],"zindex":0}}],"sizeGrid":200,"title":"1"}]},"version":12}
@@ -1 +1 @@
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":6,"label":{"kind":"normal","label":"\\id_B","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":7,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":2,"id":8,"label":{"kind":"normal","label":"h","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":1,"id":9,"label":{"kind":"normal","label":"H_i\\eta^{FG}_{i-1} \\circ g","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":4,"id":10,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":0,"id":11,"label":{"kind":"normal","label":"g","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":5,"id":12,"label":{"kind":"normal","label":"H_i\\eta_{i-1}^{FG}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":0,"id":13,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":14,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":4,"id":15,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3}],"nodes":[{"id":0,"label":{"isMath":true,"label":"B","pos":[100,100],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"B","pos":[300,100],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"A","pos":[678,100],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}(G_{i-1}X \\tl^{i-1}K_\\bullet(G_{i-1}X,(B,H_i\\eta_{i-1}\\circ g)))","pos":[678,211],"zindex":0}},{"id":4,"label":{"isMath":true,"label":"H_iF_{i-1}G_{i-1}X","pos":[300,211],"zindex":-10000}},{"id":5,"label":{"isMath":true,"label":"H_iX","pos":[100,211],"zindex":-10000}}],"sizeGrid":200,"title":"1"}]},"version":12}
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":6,"label":{"kind":"normal","label":"\\id_B","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":7,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":2,"id":8,"label":{"kind":"normal","label":"h","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":1,"id":9,"label":{"kind":"normal","label":"H_i\\eta_{i-1} \\circ g","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":4,"id":10,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3},{"from":0,"id":11,"label":{"kind":"normal","label":"g","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":5,"id":12,"label":{"kind":"normal","label":"H_i\\eta_{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":0,"id":13,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":5,"id":14,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":4,"id":15,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3}],"nodes":[{"id":0,"label":{"isMath":true,"label":"B","pos":[100,100],"zindex":0}},{"id":1,"label":{"isMath":true,"label":"B","pos":[300,100],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"A","pos":[678,100],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}(G_{i-1}X \\tl^{i-1}K_\\bullet(G_{i-1}X,(B,H_i\\eta_{i-1}\\circ g)))","pos":[678,211],"zindex":0}},{"id":4,"label":{"isMath":true,"label":"H_iF_{i-1}G_{i-1}X","pos":[300,211],"zindex":-10000}},{"id":5,"label":{"isMath":true,"label":"H_iX","pos":[100,211],"zindex":-10000}}],"sizeGrid":200,"title":"1"}]},"version":12}
+1 -1
View File
@@ -1 +1 @@
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":4,"label":{"kind":"normal","label":"(H_i(F_{i-1}\\inj_\\tl^{i-1})^{-1})","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":5,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":6,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":2,"id":7,"label":{"kind":"normal","label":"\\inj_2^{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3}],"nodes":[{"id":0,"label":{"isMath":true,"label":"H_iF_{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))) ","pos":[230,46],"zindex":0}},{"id":1,"label":{"isMath":true,"label":" H_iF_{i-1}X","pos":[230,138],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"\\left(K_{H_iF_{i-1}}(X,Y)\\right)_\\UU","pos":[230,204],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"R_0^{i-1}\\left(X \\tl^{i-1}K_{H_iF_{i-1}}(X,Y)\\right)_\\UU","pos":[230,300],"zindex":0}}],"sizeGrid":92,"title":"1"}]},"version":12}
{"graph":{"latexPreamble":"\\newcommand\\ensuremath[1]{#1}\n\\newcommand\\BB{{\\ensuremath{\\mathcal{B}}}}\n\\newcommand\\TT{{\\ensuremath{\\mathcal{T}}}}\n\\newcommand\\UU{{\\ensuremath{\\mathcal{U}}}}\n\\newcommand\\CC{{\\ensuremath{\\mathcal{C}}}}\n\\newcommand\\El{{\\ensuremath{\\operatorname{\\mathcal{E}l}}}}\n\\newcommand\\ii{{\\ensuremath{\\mathbf{i}}}}\n\\newcommand\\Cstr{{\\ensuremath{\\operatorname{\\mathcal{C}str}}}}\n\\newcommand\\Set{{\\ensuremath{\\operatorname{\\mathcal{S}et}}}}\n\\newcommand\\Hom{{\\ensuremath{\\operatorname{\\mathcal{H}om}}}}\n\\newcommand\\this{{\\ensuremath{\\operatorname{\\texttt{this}}}}}\n\\newcommand\\Hbar{{\\ensuremath{\\overline{H}}}}\n\\newcommand\\dash{{\\;\\textrm{---}\\;}}\n\n\\newcommand\\inj{\\operatorname{inj}}\n\\newcommand\\id{\\operatorname{id}}","tabs":[{"active":true,"edges":[{"from":0,"id":4,"label":{"kind":"normal","label":"H_i(F_{i-1}\\inj_\\tl^{i-1})^{-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":1,"id":5,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"none","kind":"double","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":0,"id":6,"label":{"kind":"normal","label":"\\simeq","style":{"alignment":"right","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":2,"id":7,"label":{"kind":"normal","label":"\\inj_2^{i-1}","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":3}],"nodes":[{"id":0,"label":{"isMath":true,"label":"H_iF_{i-1}(X \\tl^{i-1} K_{H_iF_{i-1}}(X,Y))) ","pos":[230,46],"zindex":0}},{"id":1,"label":{"isMath":true,"label":" H_iF_{i-1}X","pos":[230,138],"zindex":0}},{"id":2,"label":{"isMath":true,"label":"\\left(K_{H_iF_{i-1}}(X,Y)\\right)_\\UU","pos":[230,204],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"R_0^{i-1}\\left(X \\tl^{i-1}K_{H_iF_{i-1}}(X,Y)\\right)_\\UU","pos":[230,300],"zindex":0}}],"sizeGrid":92,"title":"1"}]},"version":12}