Bicategories and Weakly Globular Double Categories

Published 15 Oct 2012 in math.CT | (1210.4056v2)

Abstract: This paper introduces the notion of weakly globular double categories, a particular class of strict double categories, as a way to model weak 2-categories; it explores its use in defining a double category of fractions, and shows that the sub-2-category of groupoidal weakly globular double categories forms an algebraic model of homotopy 2-types.

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