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Equivariant movability of free G-spases
by
P. S. Gevorgyan
Moscow State University
The some questions of equivariant movability connected with substitution of acting group G on closed subgroup H and with transitions to spaces of H-orbits and H-fixed points spaces are investigated. In the special case the characterization of equivariant-movable G-spaces is given.
The next theorems are proved.
THEOREM 1. Let G be a compact Lie group and Y be metrizable G-AR(MG)-space. Suppose that the close and invariant subset X of Y has invariant neighborhood which orbits have the same type. If the orbit space X|G is movable then X is equivariant-movable.
THEOREM 2. Let G be a compact Lie group. Metrizable free G-space X is equivariant-movable if and only if the orbit space X|G is movable.
We construct the examples, which shows that the condition of Lie group for group G and the condition of freeness of action of group G are essentials in the last theorem.
Paper reference: arXiv:math.GN/0105092
Date received: June 25, 2001
Copyright © 2001 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 # cagy-10.