Postnikov Invariants of Crossed Complexes
Category Theory
2007-05-23 v1 Algebraic Topology
Abstract
We determine the Postnikov Tower and Postnikov Invariants of a Crossed Complex in a purely algebraic way. Using the fact that Crossed Complexes are homotopy types for filtered spaces, we use the above "algebraically defined" Postnikov Tower and Postnikov Invariants to obtain from them those of filtered spaces. We argue that a similar "purely algebraic" approach to Postnikov Invariants may also be used in other categories of spaces.
Cite
@article{arxiv.math/0409339,
title = {Postnikov Invariants of Crossed Complexes},
author = {M. Bullejos and E. Faro and M. A. García-Muñoz},
journal= {arXiv preprint arXiv:math/0409339},
year = {2007}
}
Comments
45 pages, submitted to Journal of Algebra