The structure of LC-continuous functions

DOI10.1007/S10474-011-0102-6zbMath1299.26006OpenAlexW1966739474MaRDI QIDQ663088

Alexey Ostrovsky

Publication date: 13 February 2012

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0102-6

zbMATH Keywords

countably continuousBaire 1 functioncountable homeomorphismLC-continuous

Mathematics Subject Classification ID

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) Topology of special sets defined by functions (54C50)

Related Items (3)

Luzin's topological problem ⋮ Closed-constructible functions are piecewise closed ⋮ An alternative approach to the decomposition of functions

Cites Work

• First level Borel functions and isomorphisms
• Baire 1 functions which are not countable unions of continuous functions
• A decomposition of continuity

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