New characterizations of minimal cusco maps

DOI10.1216/RMJ-2014-44-6-1851zbMath1328.54014arXiv1207.1587MaRDI QIDQ2514545

Dušan Holý, L'ubica Holá

Publication date: 3 February 2015

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

Full work available at URL: https://arxiv.org/abs/1207.1587

zbMATH Keywords

extreme pointsselectionsubcontinuityquasicontinuityset valued mappingminimal convex upper semicontinuous mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20)

Related Items (14)

Minimal usco and minimal cusco maps and compactness ⋮ Quasicontinuous subcontinuous functions and compactness ⋮ Spaces of Minimal Usco and Minimal Cusco Maps as Fréchet Topological Vector Spaces ⋮ Fréchet subspaces of minimal usco and minimal cusco maps ⋮ When is the space of minimal usco/cusco maps a topological vector space ⋮ Topological properties of the space of convex minimal usco maps ⋮ Quasicontinuous functions and compactness ⋮ Unnamed Item ⋮ Quasicontinuous functions and the topology of pointwise convergence ⋮ Minimal usco maps and cardinal invariants of the topology of uniform convergence on compacta ⋮ Compactness in function spaces ⋮ Metrizability of the space of quasicontinuous functions ⋮ There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space ⋮ There are 2^c Quasicontinuous Non-Lebesgue Measurable Functions

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