Interchange of filtered 2-colimits and finite 2-limits

2009/04/09 by Delphine Dupont, Dupont, Delphine · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Rings, Modules, and Algebras #math.CT #msc:18A30

paper · pdf · doi:10.48550/arxiv.0904.1553

arxiv created 2009/04/10 · arxiv updated 2009/12/01

Abstract

In this paper we go into the study of 2-limits and 2-colimits in the 2-category CAT the category of small categories. More precisely we show the commutation of filtered 2-colimits and finite 2-limits. It is a generalization of a classical result in category theory.

Cited by

• The (2,1)-category of small coherent categories

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