Notes on 2-groupoids, 2-groups and crossed-modules
Category Theory
2008-07-13 v3
Abstract
This paper contains some basic results on 2-groupoids, with special emphasis on computing derived mapping 2-groupoids between 2-groupoids and proving their invariance under strictification. Some of the results proven here are presumably folklore (but do not appear in the literature to the author's knowledge) and some of the results seem to be new. The main technical tool used throughout the paper is the Quillen model structure on the category of 2-groupoids introduced by Moerdijk and Svensson.
Cite
@article{arxiv.math/0512106,
title = {Notes on 2-groupoids, 2-groups and crossed-modules},
author = {Behrang Noohi},
journal= {arXiv preprint arXiv:math/0512106},
year = {2008}
}
Comments
An error in Definition 8.4 corrected. 29 pages