West’s problem on equivariant hyperspaces and Banach-Mazur compacta

DOI10.1090/S0002-9947-03-03217-3zbMath1027.57021OpenAlexW1586056792MaRDI QIDQ4806490

Sergey A. Antonyan

Publication date: 14 May 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03217-3

zbMATH Keywords

hyperspacehomotopy typeorbit space\(G\)-ANR\(Q\)-manifold\(G\)-nerveBanach-Masur compacta

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Equivariant homotopy theory in algebraic topology (55P91) Topology of infinite-dimensional manifolds (57N20) Compact groups of homeomorphisms (57S10)

Related Items (13)

Orbit spaces of proper equivariant absolute extensors ⋮ Some notes on induced functions and group actions on hyperspaces ⋮ The Banach--Mazur compactum \(BM(2)\) is homeomorphic to the orbit space (exp\(S^{1})/O(2)\) ⋮ Compact group actions on equivariant absolute neighborhood retracts and their orbit spaces ⋮ Open problems in topology. ⋮ The equivariant homotopy type of \(G-ANR\)'s for compact group actions ⋮ A hyperspace of convex bodies arising from tensor norms ⋮ New topological models for Banach-Mazur compacta ⋮ Hyperspaces of Keller compacta and their orbit spaces ⋮ Equivariant absolute extensor property on hyperspaces of convex sets ⋮ On the topology of some hyperspaces of convex bodies associated to tensor norms ⋮ Corrigendum to ``West's problem on equivariant hyperspaces and Banach-Mazur compacta ⋮ Extending equivariant maps into spaces with convex structure

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