Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces |
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| Authors: | Sergey A. Antonyan |
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| Affiliation: | Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México D.F., Mexico |
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| Abstract: | We apply equivariant joins to give a new and more transparent proof of the following result: if G is a compact Hausdorff group and X a G-ANR (respectively, a G-AR), then for every closed normal subgroup H of G, the H-orbit space X/H is a G/H-ANR (respectively, a G/H-AR). In particular, X/G is an ANR (respectively, an AR). |
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| Keywords: | G-ANR H-orbit space Slice Join |
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