True preimages of compact or separable sets for functional analysts

DOI10.14712/1213-7243.2020.007OpenAlexW3027008806MaRDI QIDQ3297048

Drewnowski, Lech

Publication date: 2 July 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.007

zbMATH Keywords

complete metric spacecompact set\(F\)-spaceopen mappreimage\(F\)-latticeuniformly open maplower semicontinuous set-valued mapsurpositive operator

Mathematics Subject Classification ID

Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Special maps on metric spaces (54E40) Compact (locally compact) metric spaces (54E45) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Separability of topological spaces (54D65)

Cites Work

• A theorem on semi-continuous set-valued functions
• \(G_ \delta\) sections and compact-covering maps
• Ranges which enable open maps to be compact-covering
• On finitely generated vector sublattices
• Compact-Covering Images of Metric Spaces
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