Countable approximation of topological $G$-manifolds, II: linear Lie groups $G$

Qayum Khan

doi:10.1142/s179352532050051x

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arXiv · 1806.06410

Countable approximation of topological $G$-manifolds, II: linear Lie groups $G$

Qayum Khan

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Abstract

Let $G$ be a matrix group. Topological $G$-manifolds with Palais-proper action have the $G$-homotopy type of countable $G$-CW complexes (3.2). This generalizes E Elfving's dissertation theorem for locally linear $G$-manifolds (1996). Also we improve the Bredon--Floyd theorem from compact groups $G$ (1960).

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Qayum Khan. 2020-02-28. Countable approximation of topological $G$-manifolds, II: linear Lie groups $G$. https://doi.org/10.1142/s179352532050051x

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