Journal article
The equivariant structure of Eilenberg-Mac Lane spaces. I. The -torsion free case
Proceedings of the American Mathematical Society, v 101(4), pp 731-737
01 Jan 1987
Abstract
The purpose of this paper is to continue the work begun in [
7
]. That paper described an obstruction theory for topologically realizing an (equivariant) chain-complex as
the
equivariant chain-complex of a CW-complex. The obstructions essentially turned out to be homological
k
k
-invariants of Eilenberg-Mac Lane spaces and the key to their computation consists in developing tractable models for the chain-complexes of these spaces. The present paper constructs such a model in the
Z
{\mathbf {Z}}
-torsion free case. The model is sufficiently simple that in some cases it is possible to simply read off homological
k
k
-invariants, and thereby derive some topological results.
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Details
- Title
- The equivariant structure of Eilenberg-Mac Lane spaces. I. The -torsion free case
- Creators
- Justin R. Smith
- Publication Details
- Proceedings of the American Mathematical Society, v 101(4), pp 731-737
- Publisher
- American Mathematical Society
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Scopus ID
- 2-s2.0-84968518863
- Other Identifier
- 991019173968004721