An alternative approach to the decomposition of functions

DOI10.1016/j.topol.2011.04.032zbMath1242.26005OpenAlexW2072277941MaRDI QIDQ409721

Alexey Ostrovsky

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.04.032

zbMATH Keywords

Borel classclosed functionBorel-measurablecountably continuousopen functionopen-Borel

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) 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) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items (4)

Luzin's topological problem ⋮ Closed-constructible functions are piecewise closed ⋮ Finitely continuous functions ⋮ Generalization of sequences and convergence in metric spaces

Cites Work

• The structure of LC-continuous functions
• New basic result in classical descriptive set theory: preservation of completeness
• First level Borel functions and isomorphisms
• Triquotient and inductively perfect maps
• Baire 1 functions which are not countable unions of continuous functions
• Maps of Borel sets
• Preservation of the Borel class under open-LC functions
• Finite-to-one continuous s-covering mappings
• A theorem about countable decomposability
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