A construction of 2-filtered bicolimits of categories | Macquarie University ResearchOnline

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Title: A construction of 2-filtered bicolimits of categories
Related: Cahiers de topologie et géométrie différentielle catégoriques, Vol. 47, Issue 2, p.83-106
Related: http://pagesperso-orange.fr/vbm-ehr/CT/
Publisher: Cahiers de Topologie et Géométrie Différentielle Catégoriques
Date: 2006
Author/Creator: Dubuc, Eduardo J
Author/Creator: Street, Ross
Description: The authors define the notion of 2-filtered 2-category and give an explicit construction of the bicolimit of a category valued 2-functor. A category considered as a trivial 2-category is 2-filtered if and only if it is a filtered category, and the construction yields a category equivalent to the category resulting from the usual construction of filtered colimits of categories. Weaker axioms suffice, and the corresponding notion is called a pre 2-filtered 2-category. The full set of axioms is necessary to prove that 2-filtered bicolimits have the properties corresponding to the essential properties of filtered bicolimits.
Description: 24 page(s)
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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