The ANR-property of hyperspaces with the Attouch-Wets topology

DOI10.2478/s11533-008-0022-zzbMath1144.54007arXiv0803.2098OpenAlexW2075949940MaRDI QIDQ931602

Rostyslav Voytsitskyy

Publication date: 25 June 2008

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2098

zbMATH Keywords

hyperspaceANRAttouch-Wets topology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

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• Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts
• Hyperspaces with the Attouch-Wets topology homeomorphic to \(\ell_2\)
• Hyperspaces of finite subsets which are homeomorphic to \(\aleph _ 0\)- dimensional linear metric spaces
• Hyperspaces of normed linear spaces with the Attouch-Wets topology
• Hyperspaces of Banach spaces with the Attouch-Wets topology

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