On effective descent 𝒱-functors and familial descent morphisms (Preprint)

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Type: Preprint
National /International: International
Title: On effective descent 𝒱-functors and familial descent morphisms
Publication Date: 2023-05-07
Authors: - Rui Rodrigues de Abreu Fernandes Prezado
Abstract:

We study effective descent 𝒱-functors for cartesian monoidal categories 𝒱 with finite limits. This study is carried out via the properties enjoyed by the 2-functor 𝒱  Fam(𝒱), results about effective descent of bilimits of categories, and the fact that the enrichment 2-functor preserves certain bilimits. Since these results rely on an understanding of (effective) descent morphisms in Fam(𝒱), we briefly study those epimorphisms when 𝒱 is a regular category.

Institution: DMUC 23-13
Online version: http://www.mat.uc.pt...prints/eng_2023.html
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