A construction of 2-filtered bicolimits of categories

Eduardo J. Dubuc, Ross Street

    Research output: Contribution to journalArticle

    Abstract

    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.
    Original languageEnglish
    Pages (from-to)83-106
    Number of pages24
    JournalCahiers de topologie et géométrie différentielle catégoriques
    Volume47
    Issue number2
    Publication statusPublished - 2006

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