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La th\'eorie de l'homotopie des 2-cat\'egories

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arxiv 1411.6936 v1 pith:ZXE6ZG7B submitted 2014-11-25 math.AT math.CT

Jonathan Chiche This is my paper · ORCID
classification math.ATmath.CT
keywords egorieseoriehomotopiecategoriesgrothendieckhomotopytheoryagit
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On d\'eveloppe une th\'eorie de l'homotopie des 2-cat\'egories analogue \`a la th\'eorie de l'homotopie des cat\'egories d\'evelopp\'ee par Grothendieck dans "\`A la poursuite des champs". Il s'agit de la th\`ese de doctorat de l'auteur. We develop a homotopy theory of 2-categories analogous to Grothendieck's homotopy theory of categories developed in "Pursuing Stacks." This is the author's PhD thesis.

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  1. Graded Frobenius Algebras

    math.AT 2024-12 accept novelty 6.0 of 10

    Graded Frobenius algebras are defined via a graph-based PROP, and an equivalence with explicit map-and-relation descriptions, including all required signs, is proved.

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