Invariance of Borel classes in metric spaces

DOI10.1007/BF01457135zbMath0498.54035MaRDI QIDQ1171306

J. E. Jayne, C. A. Rogers

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163751

zbMATH Keywords

selection functionfirst Baire classpiecewise closed maps between arbitrary metric spaces

Mathematics Subject Classification ID

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

Selection Theorems and Invariance of Borel Pointclasses, $F_\sigma $–additive families and the invariance of Borel classes, Borel selectors for upper semi-continuous multi-valued functions

Cites Work

• First level Borel functions and isomorphisms
• An Axiom for Nonseparable Borel Theory
• On Borel Mappings and Baire Functions
• On Characterizing Non-Separable Analytic and Extended Borel Sets as Types of Continuous Images
• Piece‐wise closed functions and almost discretely σ‐decomposable families
• Images of Borel sets and k-analytic sets
• Borel Measurable Mappings for Nonseparable Metric Spaces
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