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Original scientific paper

Fiberwise retraction and shape properties of the orbit space

Sergey A. Antonyan
Rolando Jimenez
Sylvia de Neymet


Full text: english pdf 650 Kb

page 191-210

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Abstract

From the point of view of retracts and shape theory, the category G-TOPB of G-spaces over a G-space B, where G is a compact group, is investigated. In particular, we prove that if B has only one orbit type and E is a metric G-ANR over B, then the orbit space E/G is an ANR over B/G. As an application we construct a fiberwise G-orbit functor μ : G-SHB → SHB/G on shape level.

Keywords

Equivariant rectract; equivariant fiberwise shape; orbit space; G-ANR; G-shape; G-resolution

Hrčak ID:

4870

URI

https://hrcak.srce.hr/4870

Publication date:

1.12.2000.

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