Homology, Homotopy and Applications
Volume 13 (2011)
Coarse geometry and P. A. Smith theory
Pages: 73 – 102
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.
coarse homology; Smith theory
2010 Mathematics Subject Classification
20F65, 55Nxx, 57S17