Resolving rational cohomological dimension via a Cantor group action
Geometric Topology
2015-09-30 v1 General Topology
Abstract
By a Cantor group we mean a topological group homeomorphic to the Cantor set. We show that a compact metric space of rational cohomological dimension can be obtained as the orbit space of a Cantor group action on a metric compact space of covering dimension . Moreover, the action can be assumed to be free if .
Keywords
Cite
@article{arxiv.1309.7489,
title = {Resolving rational cohomological dimension via a Cantor group action},
author = {Michael Levin},
journal= {arXiv preprint arXiv:1309.7489},
year = {2015}
}