English

On commutators of equivariant homeomorphisms

Differential Geometry 2011-04-20 v1

Abstract

The long-standing problem of the perfectness of the compactly supported equivariant homeomorphism group on a GG-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))H_1(\mathcal{H}_G(M)) for more complicated GG-manifolds.

Keywords

Cite

@article{arxiv.math/0511603,
  title  = {On commutators of equivariant homeomorphisms},
  author = {Tomasz Rybicki},
  journal= {arXiv preprint arXiv:math/0511603},
  year   = {2011}
}

Comments

5 pages

R2 v1 2026-07-22T17:27:51.352Z