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2 results for “Palais-proper”

Countable approximation of topological

G

-manifolds, III: arbitrary Lie groups

G

math.GT

Generalizes manifold results for Lie groups, proving equivariant homotopy type.

problem Hilbert-Smith conjecture for topological

G

-manifolds.

method Generalization of previous results, verification of n-classifying spaces.

result Any Palais-proper topological

G

-manifold has the equivariant homotopy type of a countable proper

G

-CW complex.

Hilbert-Smith conjecture Lie groups topological manifolds equivariant homotopy Palais-proper

2019-05-24abs ↗pdf ↗

Countable approximation of topological

G

-manifolds, II: linear Lie groups

G

math.GT

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).

2018-06-17abs ↗pdf ↗