Separation properties in X and \(2^ X\). Upper semicontinuous and measurable multifunctions

DOI10.1007/BF02844856zbMath0679.54018MaRDI QIDQ1822796

Diego Averna

Publication date: 1989

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

zbMATH Keywords

measurable spaceclosed graphweak regularitymeasurable selectionsseparation properties\(R_ 0\)-spacesemicontinuity propertiesweak countable 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) Hyperspaces in general topology (54B20) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (6)

Corrigenda to the paper: Separation properties in \(X\) and \(2^ X\). Upper semicontinuous and measurable multifunctions ⋮ Measurability and countable separation ⋮ Properties of countable separation and implicit function theorem ⋮ On separation axioms in hyperspaces ⋮ Unnamed Item ⋮ On measurable multifunctions in countably separated spaces

Cites Work

• Unnamed Item
• Closed and image-closed relations
• Indexed Systems of Neighborhoods for General Topological Spaces
• Survey of Measurable Selection Theorems
• Topologies on Spaces of Subsets

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