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

Matatyahu Rubin, Tomasz Rybicki

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish
Pages (from-to)2899-2908
Number of pages10
JournalTopology and its Applications
Volume159
Issue number12
DOIs
StatePublished - 1 Aug 2012

Keywords

  • Constant-like homeomorphism
  • Equivariant homeomorphism
  • Factorizable group
  • G-manifold
  • G-space
  • Group of homeomorphisms
  • Reconstruction theorem

ASJC Scopus subject areas

  • Geometry and Topology

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