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

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).

8 pages; Version 4: added technical definitions based on referee report; accepted by Journal of Topology and Analysis

References in corpus (1)

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