Upper semi-continuous set-valued functions

DOI10.1007/BF02392351zbMath0523.54013MaRDI QIDQ1056404

C. A. Rogers, J. E. Jayne

Publication date: 1982

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

zbMATH Keywords

decompositionBorel setsabsolutely additive families of closed setsBorel measurable selector of Borel class 1co- Souslin-F setsfunction of first (second) Borel classselector representationSouslin-F-sets

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Selections in general topology (54C65) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (17)

Extended Bochner measurable selectors ⋮ Riemann-measurable selections ⋮ Baire classes of affine vector-valued functions ⋮ 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 ⋮ A sequential property of set-valued maps ⋮ Extension of fragmented Baire-one functions on Lindelöf spaces ⋮ Cantor set selectors ⋮ Descriptive properties of mappings between nonseparable Luzin spaces ⋮ There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space ⋮ Boundaries of and selectors for upper semi-continuous multi-valued maps ⋮ Correction to: Upper semi-continuous set-valued functions ⋮ Lindelöf modifications and K ‐analytic spaces ⋮ Borel selectors for upper semi-continuous multi-valued functions ⋮ Borel selectors for upper semi-continuous set-valued maps

Cites Work

• Metric characterizations of upper semicontinuity
• On Borel Mappings and Baire Functions
• Boréliens à coupes $K_\sigma$
• A Separation Theorem for ∑ 1 1 Sets
• Local properties of topological spaces
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