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arXiv · 1401.2653

Equivariant absolute extensor property on hyperspaces of convex sets

Natalia Jonard-Pérez
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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.

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Natalia Jonard-Pérez. 2014-01-12. Equivariant absolute extensor property on hyperspaces of convex sets. https://arxiv.org/abs/1401.2653

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