Countable approximation of topological G-manifolds: compact Lie groups G
classification
🧮 math.GT
keywords
compactmanifoldscountablegrouplineartopologicalapproximationcomplexes
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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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