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A calculus on lax functors

2013/07/27 by Hugo V. Bacard, Bacard, Hugo V.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT

paper · pdf · doi:10.48550/arxiv.1307.7216

20 pages, comments welcome, first draft

arxiv created 2013/07/27 · openalex publication_date 2013/07/27 · arxiv updated 2013/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We verify that Kelly's constructions of the internal Hom for enriched categories extends naturally to lax functors taking their values in a symmetric monoidal category. Our motivation is to set up a `calculus on lax functors' that will host the theory of weakly enriched categories that are defined by lax diagrams.

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