Borel selectors for upper semi-continuous multi-valued functions

DOI10.1016/0022-1236(84)90078-8zbMath0581.28007OpenAlexW2077399452MaRDI QIDQ1068232

C. A. Rogers, J. E. Jayne

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90078-8

zbMATH Keywords

Borel measurable selectorsweakly upper semi-continuous function

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items

Riemann-measurable selections ⋮ First class selectors for upper semi-continuous multifunctions ⋮ On a theorem of Choquet and Dolecki ⋮ Borel selectors for upper semi‐continuous multi‐valued functions ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Selection properties of the split interval and the Continuum hypothesis ⋮ A sequential property of set-valued maps ⋮ Borel measure extensions of measures defined on sub-\(\sigma\)-algebras ⋮ Boundaries of and selectors for upper semi-continuous multi-valued maps ⋮ Correction to: Upper semi-continuous set-valued functions ⋮ Borel selectors for upper semi-continuous set-valued maps

Cites Work

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• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces
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