M2Internship/Report/graphs/NaturalityDoublePullbackDefinition2.json

{"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\\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":14,"label":{"kind":"normal","label":"E(f)_2","style":{"alignment":"right","bend":0.30000000000000004,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":1},"to":1},{"from":1,"id":15,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":1},"to":2},{"from":0,"id":16,"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":17,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^if","style":{"alignment":"left","bend":0,"color":"blue","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":2},{"from":2,"id":18,"label":{"kind":"normal","label":"\\Cstr^{Z'}","style":{"alignment":"right","bend":0,"color":"blue","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":5,"id":19,"label":{"kind":"normal","label":"(R_0^i Z)_\\UU","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":4},{"from":3,"id":20,"label":{"kind":"normal","label":"\\Cstr^Z","style":{"alignment":"left","bend":0,"color":"red","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":5},{"from":6,"id":21,"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":7},{"from":7,"id":22,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"red","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":8},{"from":6,"id":23,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":0,"color":"blue","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":9},{"from":9,"id":24,"label":{"kind":"normal","label":"H_iF_{i-1}g","style":{"alignment":"left","bend":0,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":8},{"from":8,"id":25,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0,"color":"red","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":10},{"from":9,"id":26,"label":{"kind":"normal","label":"H_iF_{i-1}\\inj_1^{i-1}","style":{"alignment":"left","bend":0,"color":"blue","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":1},"to":11},{"from":11,"id":27,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^iW(g,h)","style":{"alignment":"right","bend":0,"color":"blue","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":10},{"from":10,"id":28,"label":{"kind":"normal","label":"H_iF_{i-1}R_{i-1}^i\\ii","style":{"alignment":"right","bend":0,"color":"purple","dashed":false,"head":"default","kind":"normal","position":0.30000000000000004,"tail":"none"},"zindex":0},"to":3},{"from":7,"id":29,"label":{"kind":"normal","label":"\\phi_{XYZ}(\\ii)","style":{"alignment":"left","bend":-0.1,"color":"red","dashed":true,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":0},{"from":6,"id":30,"label":{"kind":"normal","label":"\\phi_{X'Y'Z'}(f\\circ \\ii \\circ W(g,h))","style":{"alignment":"right","bend":0.10000000000000003,"color":"blue","dashed":true,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":1},{"from":0,"id":31,"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":12},{"from":12,"id":32,"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":5},{"from":1,"id":33,"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":13},{"from":13,"id":34,"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":4},{"from":12,"id":35,"label":{"kind":"normal","label":"","style":{"alignment":"left","bend":-0.30000000000000004,"color":"black","dashed":false,"head":"default","kind":"normal","position":0.5,"tail":"none"},"zindex":0},"to":13},{"from":31,"id":36,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":16},{"from":33,"id":37,"label":{"kind":"pullshout","label":"","style":{"alignment":"","bend":0,"color":"black","dashed":false,"head":"","kind":"normal","position":0,"tail":""},"zindex":0},"to":15}],"nodes":[{"id":0,"label":{"isMath":true,"label":"E(Z)","pos":[1172,35],"zindex":1}},{"id":1,"label":{"isMath":true,"label":"E(Z')","pos":[1172,455],"zindex":1}},{"id":2,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z'","pos":[1172,315],"zindex":0}},{"id":3,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^i Z","pos":[1172,175],"zindex":-10000}},{"id":4,"label":{"isMath":true,"label":"(R_0^i Z')_\\UU","pos":[1312,315],"zindex":-10000}},{"id":5,"label":{"isMath":true,"label":"(R_0^i Z)_\\UU","pos":[1312,175],"zindex":0}},{"id":6,"label":{"isMath":true,"label":"Y'","pos":[455,315],"zindex":0}},{"id":7,"label":{"isMath":true,"label":"Y","pos":[455,175],"zindex":0}},{"id":8,"label":{"isMath":true,"label":"H_iF_{i-1}X","pos":[542,175],"zindex":0}},{"id":9,"label":{"isMath":true,"label":"H_iF_{i-1}X'","pos":[542,315],"zindex":-10000}},{"id":10,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^iW(X,Y)","pos":[822,175],"zindex":0}},{"id":11,"label":{"isMath":true,"label":"H_iF_{i-1}R_{i-1}^iW(X',Y')","pos":[822,315],"zindex":-10000}},{"id":12,"label":{"isMath":true,"label":"","pos":[1312,35],"zindex":-10000}},{"id":13,"label":{"isMath":true,"label":"","pos":[1312,455],"zindex":0}}],"sizeGrid":70,"title":"1"}]},"version":12}