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

被引：0

作者：

Rubin, Matatyahu ^{[2
]}

Rybicki, Tomasz ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

TOPOLOGY AND ITS APPLICATIONS | 2012年 / 159卷 / 12期

关键词：

G-space; G-manifold; Group of homeomorphisms; Reconstruction theorem; Factorizable group; Equivariant homeomorphism; Constant-like homeomorphism; RECONSTRUCTION; SPACES;

D O I：

10.1016/j.topol.2012.05.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：2899 / 2908

页数：10

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