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

Matatyahu Rubin; Tomasz Rybicki

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arXiv · 1205.6888

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

Matatyahu Rubin·Tomasz Rybicki

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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.

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BibTeX RIS

Matatyahu Rubin, Tomasz Rybicki. 2012-05-31. Isomorphisms between groups of equivariant homeomorphisms of $G$-manifolds with one orbit type. https://arxiv.org/abs/1205.6888

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