Fibrewise Retraction and Shape Properties of the Orbit Space
by
Rolando Jiménez
Coauthors: S. Antonian, S. de Neymet

From the point of view of retracts and shape theory, the category G-TOP_B 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 of this we construct a fibrewise G-orbit functor \mu: G-SH_B --> SH_B/G on shape level.

Date received: June 24, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caah-47.