$F_\sigma $–additive families and the invariance of Borel classes

DOI10.1090/S0002-9939-04-07587-2zbMath1059.54026MaRDI QIDQ4829915

Jiří Spurný

Publication date: 1 December 2004

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

zbMATH Keywords

refinementBorel hierarchysectionmetrizable space\(\sigma\)-discrete refinementSuslin setdiscrete familyadditive Borel class\(\sigma\)-discrete familyF\(_\sigma\)-setabsolute Suslin spaceF\(_\sigma\)-additive familypartial selector set

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Special maps on metric spaces (54E40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (1)

\(G_{\delta}\)-additive families in absolute Souslin spaces and Borel measurable selectors

Cites Work

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• Invariance of Borel classes in metric spaces
• Nonseparable analytic metric spaces and quotient maps
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Cantor sets in Prohorov spaces
• F σ -Set Covers of Analytic Spaces and First Class Selectors
• On Characterizing Non-Separable Analytic and Extended Borel Sets as Types of Continuous Images
• Borel Measurable Mappings for Nonseparable Metric Spaces

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