English

Isomorphisms between groups of equivariant homeomorphisms of $G$-manifolds with one orbit type

General Topology 2012-06-01 v1

Abstract

Given a compact Lie group GG, a reconstruction theorem for free GG-manifolds is proved. As a by-product reconstruction results for locally trivial bundles are presented. Next, the main theorem is generalized to GG-manifolds with one orbit type. These are the first reconstruction results in the category of GG-spaces, showing also that the reconstruction in this category is very specific and involved.

Keywords

Cite

@article{arxiv.1205.6888,
  title  = {Isomorphisms between groups of equivariant homeomorphisms of $G$-manifolds with one orbit type},
  author = {Matatyahu Rubin and Tomasz Rybicki},
  journal= {arXiv preprint arXiv:1205.6888},
  year   = {2012}
}

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18 pages