Bicategories and Weakly Globular Double Categories
Category Theory
2013-03-28 v2
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.
Cite
@article{arxiv.1210.4056,
title = {Bicategories and Weakly Globular Double Categories},
author = {Simona Paoli and Dorette Pronk},
journal= {arXiv preprint arXiv:1210.4056},
year = {2013}
}
Comments
78 pages