Some open problems in equivariant infinite-dimensional topology

In this paper we present some open problems in the field mentioned in the title. All problems here discussed arose in the investigation of the author. Special attention is paid to such topics as Extension of equivariant maps, Characterization of G-ANRs, Topology of the Banach-Mazur compacta, Group a...

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Bibliographic Details
Published in:Topology and its applications 2022-04, Vol.311, p.107966, Article 107966
Main Author: Antonyan, Sergey A.
Format: Article
Language:English
Subjects:
Banach-Mazur compactum
G-ANR
Group action
Hilbert cube manifold
Hyperspace
Invariant metric
Orbit space
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Summary:In this paper we present some open problems in the field mentioned in the title. All problems here discussed arose in the investigation of the author. Special attention is paid to such topics as Extension of equivariant maps, Characterization of G-ANRs, Topology of the Banach-Mazur compacta, Group actions on hyperspaces, and Invariant metric problem.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2021.107966