Article ID Journal Published Year Pages File Type
4661339 Topology and its Applications 2007 4 Pages PDF
Abstract

The long-standing problem of the perfectness of the compactly supported equivariant homeomorphism group on a G-manifold (with one orbit type) is solved in the affirmative. The proof is based on an argument different than that for the case of diffeomorphisms. The theorem is a starting point for computing H1(HG(M)) for more complicated G-manifolds.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology