Mathematics – Differential Geometry
Scientific paper
2005-11-24
Topology Appl. 154(2007), 1561-1564
Mathematics
Differential Geometry
5 pages
Scientific paper
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 $H_1(\mathcal{H}_G(M))$ for more complicated $G$-manifolds.
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