New basic result in classical descriptive set theory: preservation of completeness

DOI10.1016/j.topol.2009.03.001zbMath1172.54019OpenAlexW2055807929MaRDI QIDQ1019153

Alexey Ostrovsky

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.03.001

zbMATH Keywords

closed mapstable mapopen mapBorel spacecompletely metrizable spaces-covering map

Mathematics Subject Classification ID

Descriptive set theory (03E15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Special maps on metric spaces (54E40) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (7)

Closed-constructible functions are piecewise closed ⋮ An alternative approach to the decomposition of functions ⋮ Descriptive complexity of \(\mathsf{qc} \mathsf{b}_0\)-spaces ⋮ Preservation of complete Baireness ⋮ Resolvable maps preserve complete metrizability ⋮ Preservation of completeness by some continuous maps ⋮ On a question by Alexey Ostrovsky concerning preservation of completeness

Cites Work

• New classes of maps related to \(k\)-covering maps
• \(s\)-covering maps with complete fibers
• On the Luzin-Yankov theorem and the general theory of selections
• Stable maps of Polish spaces
• On Closed Images of the Space of Irrationals
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