On commutators of equivariant homeomorphisms
Tomasz Rybicki
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.
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