Symmetric products and closed finite-to-one mappings

DOI10.1016/J.TOPOL.2017.11.004zbMath1384.54007OpenAlexW2768869100MaRDI QIDQ1688200

Fucai Lin, Zhongbao Tang, Lin, Shou

Publication date: 5 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.11.004

zbMATH Keywords

symmetric productscovering propertieshyperspacesclosed mappingsLašnev spacesfinite-to-one mappingsgeneralized metric propertiesMorita's \(P\)-spaces

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) (p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Sequential spaces (54D55) Topological spaces with richer structures (54E99) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) (k)-spaces (54D50)

Related Items (6)

Regular \(G_\delta \)-diagonals and hyperspaces ⋮ Generalized metric properties on hyperspaces with the Vietoris topology ⋮ \(so\)-metrizable spaces and images of metric spaces ⋮ On the $n$-fold symmetric product of a space with a $\sigma$-$(P)$-property $cn$-network ($ck$-network) ⋮ The closed finite-to-one mappings and their applications ⋮ A note on hyperspaces by closed sets with Vietoris topology

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