Selection theorems and minimal mappings in a cluster setting

DOI10.1216/RMJ-2011-41-3-851zbMath1234.54027MaRDI QIDQ633924

Milan Matejdes

Publication date: 2 August 2011

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

zbMATH Keywords

selectionset-valued functionclosed graphquasicontinuitymultiselection\({\mathcal E}\)-continuitycluster setminimal multifunction

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items (5)

Unnamed Item ⋮ Relations between minimal usco and minimal cusco maps ⋮ Minimal usco maps and cardinal invariants of the topology of uniform convergence on compacta ⋮ New characterizations of minimal cusco maps ⋮ Similar Functions and Their Properties

Cites Work

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• Continuous selections. I
• Minimal usco maps, densely continuous forms and upper semi-continuous functions
• On minimal upper semicontinuous compact-valued maps
• Continuity of multifunctions
• Minimality of multifunctions
• Quasicontinuous selections of upper continuous set-valued mappings
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• $c$-continuity and closed graphs
• Usco selections of densely defined set-valued mappings
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings

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