Topological properties of the multifunction space L(X) of cusco maps

DOI10.2478/s12175-008-0107-yzbMath1199.54113OpenAlexW2089625688MaRDI QIDQ3548564

Tanvi Jain, L'ubica Holá, Robert A.McCoy

Publication date: 16 December 2008

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-008-0107-y

zbMATH Keywords

Vietoris topologymetrizabilitycardinal functionslower Vietoris topologycomplete metrizabilityupper Vietoris topologycountability propertiesmultifunction spacecusco maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Separability of topological spaces (54D65)

Related Items (7)

Spaces of lower semicontinuous set-valued maps I ⋮ Spaces of lower semicontinuous set-valued maps II ⋮ When is the space of minimal usco/cusco maps a topological vector space ⋮ Topological properties of the space of convex minimal usco maps ⋮ Relations between minimal usco and minimal cusco maps ⋮ Subcontinuity ⋮ Some topologies on the spaces of USCO maps and densely continuous forms

Cites Work

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