Characterizing metric spaces whose hyperspaces are absolute neighborhood retracts

DOI10.1016/j.topol.2006.02.009zbMath1125.54006arXivmath/0509395OpenAlexW2068556555MaRDI QIDQ886290

Taras Banakh, R. I. Voytsitskyy

Publication date: 26 June 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509395

zbMATH Keywords

hyperspaceHausdorff metricANRlocally connected spaceabsolute uniform retractalmost convex metricuniform ANR

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Topological lattices, etc. (topological aspects) (54H12) Connected and locally connected spaces (general aspects) (54D05) Uniform structures and generalizations (54E15) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

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