On minimal upper semicontinuous compact-valued maps

DOI10.1216/RMJM/1181073096zbMath0742.54006OpenAlexW2029041273MaRDI QIDQ1174330

Iwo Labuda, Drewnowski, Lech

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073096

zbMATH Keywords

multifunctionupper semicontinuityminimal mapscluster set

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Weak and generalized continuity (54C08)

Related Items (25)

Weight of precompact subsets and tightness ⋮ Minimal usco and minimal cusco maps and compactness ⋮ Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ On continuity of set-valued mappings ⋮ The number of \(K\)-determination of topological spaces ⋮ Compactoid filters and USCO maps. ⋮ Some notes on densely continuous forms ⋮ Selection theorems and minimal mappings in a cluster setting ⋮ Functional characterizations of \(p\)-spaces ⋮ Relations between minimal usco and minimal cusco maps ⋮ Bounds using the index of Nagami ⋮ Hausdorff graph topology, proximal graph topology and the uniform topology for densely continuous forms and minimal USCO maps ⋮ Pointwise topological convergence and topological graph convergence of set-valued maps ⋮ Minimal usco maps and cardinal invariants of the topology of uniform convergence on compacta ⋮ Approximation by continuous functions in the Fell topology ⋮ Cardinal invariants of the topology of uniform convergence on compact sets on the space of minimal USCO maps ⋮ Infinite products of filters ⋮ Uniform convergence on spaces of multifunctions ⋮ New characterizations of minimal cusco maps ⋮ Upper quasi continuous maps and quasi continuous selections ⋮ Inherent compactness of upper continuous set valued maps ⋮ Minimal usco maps, densely continuous forms and upper semi-continuous functions ⋮ Some topologies on the spaces of USCO maps and densely continuous forms ⋮ A fixed point theorem for measurable selection valued correspondences induced by upper Caratheodory correspondences

Cites Work

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• On minimal convex usco and maximal monotone maps
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• A continuous selection theorem for extremally disconnected spaces
• Multi-valued Namioka theorems.
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
• Jeux Topologiques et Espaces de Namioka

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