Coarse Geometry and P. A. Smith Theory

Details Coarse Geometry and P. A. Smith Theory Coarse Geometry and P. A. Smith Theory

2010-07-03

arxiv.org/abs/1007.0495v2

Mathematics

Geometric Topology

In this version: improvements to the exposition and Theorem B added (29 pages)

Scientific paper

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.

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