Countable approximation of topological $G$-manifolds: compact Lie groups $G$
Geometric Topology
2018-06-26 v3
Abstract
Let be a compact Lie group. (Compact) topological -manifolds have the -homotopy type of (finite-dimensional) countable -CW complexes (2.5). This partly generalizes Elfving's theorem for locally linear -manifolds [Elf96], wherein the Lie group is linear (such as compact).
Keywords
Cite
@article{arxiv.1708.08094,
title = {Countable approximation of topological $G$-manifolds: compact Lie groups $G$},
author = {Qayum Khan},
journal= {arXiv preprint arXiv:1708.08094},
year = {2018}
}
Comments
8 pages. Version 3: improved historical scholarship (inserted 2.3, 3.3, 4.4; generalized 4.3). accepted for publication