Equivariant absolute extensor property on hyperspaces of convex sets
Functional Analysis
2014-02-10 v2 General Topology
Metric Geometry
Abstract
Let G be a compact group acting on a Banach space L by means of linear isometries. The action of G on L induces a natural continuous action on cc(L), the hyperspace of all compact convex subsets of L endowed with the Hausdorff metric topology. The main result of this paper states that the G-space cc(L) is a G-AE. Under some extra assumptions, this result can be extended to CB(L), the hyperspace of all closed and bounded convex subsets of L.
Cite
@article{arxiv.1401.2653,
title = {Equivariant absolute extensor property on hyperspaces of convex sets},
author = {Natalia Jonard-Pérez},
journal= {arXiv preprint arXiv:1401.2653},
year = {2014}
}
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8 pages