Stable maps of Borel sets

DOI10.1016/j.topol.2023.108413OpenAlexW4315644178MaRDI QIDQ2683762

Alexey Ostrovsky

Publication date: 15 February 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108413

zbMATH Keywords

perfect mapstable mapBorel sets\(H\)-covering map\(s\)-covering map

Mathematics Subject Classification ID

Descriptive set theory (03E15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Cites Work

• Preservation of the Borel class under countable-compact-covering mappings
• Triquotient and inductively perfect maps
• \(s\)-covering maps with complete fibers
• On the widest class of completeness-preserving covering maps
• A theorem on semi-continuous set-valued functions
• Partition-complete spaces and their preservation by tri-quotient and related maps
• Borel liftings of Borel sets: some decidable and undecidable statements
• Stable maps of Polish spaces
• On the work of L. V. Keldysh and her seminar
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