Hereditarily-Additive Families in Descriptive Set Theory and Borel Measurable Multimaps

DOI10.2307/1999181zbMath0521.28004OpenAlexW4247855432MaRDI QIDQ3671418

Roger W. Hansell

Publication date: 1983

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999181

zbMATH Keywords

Souslin setsset-valued mapselectormeasurable selectorsanalytic metric spaceBorel measurable multimapshereditary additive propertySouslin-additive family

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (8)

Extended Bochner measurable selectors ⋮ Borel sets and functions in topological spaces ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A generalization of functions of the first class ⋮ K ‐analytic sets ⋮ On the Borel classes of set-valued maps of two variables ⋮ Sums, Products and Continuity of Borel Maps in Nonseparable Metric Spaces ⋮ The Hausdorff metric and measurable selections

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