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arXiv · 1708.08094

Countable approximation of topological $G$-manifolds: compact Lie groups $G$

Qayum Khan
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Abstract

Let $G$ be a compact Lie group. (Compact) topological $G$-manifolds have the $G$-homotopy type of (finite-dimensional) countable $G$-CW complexes (2.5). This partly generalizes Elfving's theorem for locally linear $G$-manifolds [Elf96], wherein the Lie group $G$ is linear (such as compact).

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Qayum Khan. 2017-11-29. Countable approximation of topological $G$-manifolds: compact Lie groups $G$. https://doi.org/10.1016/j.topol.2017.11.001

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