Representing Bredon cohomology with local coefficients
Algebraic Topology
2015-01-06 v3
Abstract
For a discrete group G, we represent the Bredon cohomology with local coefficients as the homotopy classes of maps in the category of equivaraint crossed complexes. Subsequently, we construct a naive parametrized G-spectrum, such that the cohomology theory defined by it reduces to the Bredon cohomology with local coefficients when restricted to suspension spectra.
Cite
@article{arxiv.1206.2781,
title = {Representing Bredon cohomology with local coefficients},
author = {Samik Basu and Debasis Sen},
journal= {arXiv preprint arXiv:1206.2781},
year = {2015}
}
Comments
29 pages, Accepted version JPAA