Glasnik matematički, Vol. 35 No. 2, 2000.
Original scientific paper
Fiberwise retraction and shape properties of the orbit space
Sergey A. Antonyan
Rolando Jimenez
Sylvia de Neymet
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
Publication date:
1.12.2000.
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