On p-adic actions raising dimension by 2
Geometric Topology
2019-10-04 v1
Abstract
Raymond and Wiliams constructed an action of the p-adic integers on an n-dimensional compactum, n>1, with the orbit space of dimension n+2. The author earlier presented a simplified approach for constructing such an action. In this paper we generalize this approach to show that for every n>1, an (n+2)-dimensional compactum X can be obtained as the orbit space of an action of the p-adic integers on an n-dimensional compactum if and only if the cohomological dimension of X with coefficients in Z[1/p] is at most n.
Cite
@article{arxiv.1910.01476,
title = {On p-adic actions raising dimension by 2},
author = {Michael Levin},
journal= {arXiv preprint arXiv:1910.01476},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1909.12660