G-actions with close orbit spaces
General Topology
2020-01-23 v2 Geometric Topology
Abstract
The classification of G-spaces by Palais is refined for the case where the orbit space satisfies certain mild topological hypotheses. It is shown that when a sequence of such orbit spaces is "close" to a limit orbit space, in some suitable sense, within a larger ambient orbit space, the G-spaces in the tail of the sequence are strongly equivalent to the limit G-space.
Cite
@article{arxiv.1312.7846,
title = {G-actions with close orbit spaces},
author = {John Harvey},
journal= {arXiv preprint arXiv:1312.7846},
year = {2020}
}
Comments
12 pages, 1 figure. The result as previously stated in v1 was incorrect; the hypotheses were insufficient