Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 13, Number 2 (2011), 73-102.
Coarse geometry and P. A. Smith theory
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 finite p-group actions on metric spaces of finite asymptotic dimension, which relates the coarse homology of the bounded fixed set to the coarse homology of the total space.
Homology Homotopy Appl., Volume 13, Number 2 (2011), 73-102.
First available in Project Euclid: 30 April 2012
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Hambleton, Ian; Savin, Lucian. Coarse geometry and P. A. Smith theory. Homology Homotopy Appl. 13 (2011), no. 2, 73--102. https://projecteuclid.org/euclid.hha/1335806743