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 Elfving’s dissertation theorem for locally linear G-manifolds (1996). Also, we improve the Bredon–Floyd theorem from compact Lie groups G to arbitrary Lie groups G.

中文翻译：

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拓扑 G 流形的可数近似，II：线性李群 G

让G是一个矩阵群。拓扑G- 具有 Palais-proper 作用的歧管具有G- 可数的同伦类型G-CW 复合物 (3.2)。这概括了 Elfving 的局部线性论文定理G-歧管（1996）。此外，我们从紧李群改进 Bredon-Floyd 定理G任意李群G.