Properties of countable separation and implicit function theorem

DOI10.1007/BF02844766zbMath0721.28008OpenAlexW2023517056MaRDI QIDQ2640719

Pasquale Vetro, Cristina Maria Di Bari

Publication date: 1990

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844766

zbMATH Keywords

multifunctionsmeasurabilityCarathéodory-type implicit function theoremcountable separation

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) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (1)

On measurable multifunctions in countably separated spaces

Cites Work

• Separation properties in X and \(2^ X\). Upper semicontinuous and measurable multifunctions
• On the extension of von Neumann-Aumann's theorem
• Measurability and countable separation
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