A sequential property of set-valued maps

DOI10.1016/0022-247X(91)90384-CzbMath0760.54013OpenAlexW2077212070MaRDI QIDQ1174849

José Orihuela, Bernardo Cascales

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90384-c

zbMATH Keywords

cluster setcosmic spacescompact-valued mapscountably determined spacesupper semicontinuous multi-valued maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60)

Related Items (14)

Weight of precompact subsets and tightness ⋮ Birkhoff integral for multi-valued functions ⋮ Network characterization of Gul'ko compact spaces and their relatives ⋮ A selection of recent results and problems in \(C_{p}\)-theory ⋮ Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic ⋮ Compact coverings for Baire locally convex spaces ⋮ Domination by second countable spaces and Lindelöf \(\Sigma \)-property ⋮ The number of \(K\)-determination of topological spaces ⋮ Compactoid filters and USCO maps. ⋮ Note on reflexivity of some spaces of continuous integer-valued functions ⋮ Vietoris topology on spaces dominated by second countable ones ⋮ Spaces with an \(M\)-diagonal ⋮ Inherent compactness of upper continuous set valued maps ⋮ Weakly K-analytic spaces and the three-space property for analyticity

Cites Work

• Metric characterizations of upper semicontinuity
• Boundaries of and selectors for upper semi-continuous multi-valued maps
• Upper semi-continuous set-valued functions
• Borel selectors for upper semi-continuous multi-valued functions
• On compactness in locally convex spaces
• Some characterizations of analytic metric spaces
• On a theorem of Choquet and Dolecki
• On structure of upper semicontinuity
• The topology of certain spaces of measures
• Espaces de Banachs faiblement K-analytiques
• The extremal structure of convex sets
• On K-analytic locally convex spaces
• Pointwise Compactness in Spaces of Continuous Functions
• On Weakly Countably Determined Banach Spaces
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