English

Homotopies and automorphisms of crossed modules of groupoids

Category Theory 2007-05-23 v2 Algebraic Topology

Abstract

We give a detailed description of the structure of the actor 2-crossed module related to the automorphisms of a crossed module of groupoids. This generalises work of Brown and Gilbert for the case of crossed modules of groups, and part of this is needed for work on 2-dimensional holonomy to be developed elsewhere (see math.DG/0009082).

Keywords

Cite

@article{arxiv.math/0008117,
  title  = {Homotopies and automorphisms of crossed modules of groupoids},
  author = {R. Brown and I. Icen},
  journal= {arXiv preprint arXiv:math/0008117},
  year   = {2007}
}

Comments

19 pages, A4 size,LaTeX2E,xypic New version December 10, 2001. To appear in Applied Categorical Structures