Countable approximation of topological $G$-manifolds, II: linear Lie groups $G$
Geometric Topology
2021-01-05 v4 General Topology
Abstract
Let be a matrix group. Topological -manifolds with Palais-proper action have the -homotopy type of countable -CW complexes (3.2). This generalizes E Elfving's dissertation theorem for locally linear -manifolds (1996). Also we improve the Bredon--Floyd theorem from compact groups (1960).
Keywords
Cite
@article{arxiv.1806.06410,
title = {Countable approximation of topological $G$-manifolds, II: linear Lie groups $G$},
author = {Qayum Khan},
journal= {arXiv preprint arXiv:1806.06410},
year = {2021}
}
Comments
8 pages; Version 4: added technical definitions based on referee report; accepted by Journal of Topology and Analysis