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

· 2014 · math.AT · arXiv 1411.6936

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abstract

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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Graded Frobenius Algebras

math.AT · 2024-12-18 · accept · novelty 6.0

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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  • Graded Frobenius Algebras math.AT · 2024-12-18 · accept · none · ref 3 · internal anchor

    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.