Remarks on Ostrovsky's theorem

DOI10.33048/SEMI.2019.16.025zbMath1433.54010OpenAlexW3015849592MaRDI QIDQ2633608

Alexander V. Osipov

Publication date: 9 May 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.025

zbMATH Keywords

open functionresolvable setopen-\(LC_n\) functionopen-resolvable functionpiecewise open functionscatteredly open function

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) 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)

Cites Work

• Open-constructible functions
• A new proof of a theorem of Jayne and Rogers
• First level Borel functions and isomorphisms
• Generalization of sequences and convergence in metric spaces

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