On actions of abelian Cantor groups
Geometric Topology
2019-10-03 v1
Abstract
By a Cantor group we mean a topological group homeomorphic to the Cantor set. The author earlier proved that every compact metric space of rational cohomological dimension n can be obtained as the orbit space of a Cantor group action on a metric compact space of covering dimension n. In this paper, we consider actions of abelian Cantor groups and, in particular, we show that in the result mentioned above the Cantor group can be assumed to be abelian for n>1.
Keywords
Cite
@article{arxiv.1910.00606,
title = {On actions of abelian Cantor groups},
author = {Michael Levin},
journal= {arXiv preprint arXiv:1910.00606},
year = {2019}
}