Computing Homotopy Types Using Crossed N-Cubes of Groups
Algebraic Topology
2007-05-23 v2
Abstract
The aim of this paper is to explain how, through the work of a number of people, some algebraic structures related to groupoids have yielded algebraic descriptions of homotopy n-types. Further, these descriptions are explicit, and in some cases completely computable, in a way not possible with the traditional Postnikov systems, or with other models, such as simplicial groups.
Cite
@article{arxiv.math/0109091,
title = {Computing Homotopy Types Using Crossed N-Cubes of Groups},
author = {Ronald Brown},
journal= {arXiv preprint arXiv:math/0109091},
year = {2007}
}
Comments
27 pages, uses xypic This paper is an edited version in LaTeX of the paper of the same title which appeared in the Adams Memorial Symposium on Algebraic Topology}, Vol 1, edited N. Ray and G Walker, Cambridge University Press, 1992, 187-210 version 2, August 13,2006: a number of minor corrections and improvements to the references