Homotopy Representations over the Orbit Category
Algebraic Topology
2017-08-29 v2 Geometric Topology
Abstract
Let G be a finite group. The unit sphere in a finite-dimensional orthogonal G-representation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue, and establish its basic properties including the Borel-Smith conditions and realization by finite G-CW-complexes.
Cite
@article{arxiv.1402.3306,
title = {Homotopy Representations over the Orbit Category},
author = {Ian Hambleton and Ergun Yalcin},
journal= {arXiv preprint arXiv:1402.3306},
year = {2017}
}
Comments
24 pages (revised for improved exposition). To appear in "Homology, Homotopy and Applications". The sequel to this preprint is "Group actions on spheres with rank one isotropy" (arXiv: 1302.0507)