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On commutators of equivariant homeomorphisms

Tomasz Rybicki
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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 $H_1(\mathcal{H}_G(M))$ for more complicated $G$-manifolds.

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Tomasz Rybicki. 2005-11-24. On commutators of equivariant homeomorphisms. https://arxiv.org/abs/math/0511603

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