Coarse Geometry and P. A. Smith Theory
Geometric Topology
2013-02-12 v2 Metric Geometry
Abstract
We define a generalization of the fixed point set, called the bounded fixed set, for a group acting by isometries on a metric space. An analogue of the P. A. Smith theorem is proved for metric spaces of finite asymptotic dimension, which relates the coarse homology of the bounded fixed set to the coarse homology of the total space.
Cite
@article{arxiv.1007.0495,
title = {Coarse Geometry and P. A. Smith Theory},
author = {Ian Hambleton and Lucian Savin},
journal= {arXiv preprint arXiv:1007.0495},
year = {2013}
}
Comments
In this version: improvements to the exposition and Theorem B added (29 pages)