Linearly continuous functions and \(F_\sigma\)-measurability

DOI10.1007/s40879-019-00385-wzbMath1479.26003arXiv1905.04575OpenAlexW3102412394MaRDI QIDQ1987684

Taras Banakh, Olexandr V. Maslyuchenko

Publication date: 15 April 2020

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04575

zbMATH Keywords

quasi-continuous functionseparately continuous functionlinearly continuous functionBorel-measurable function\(F_\sigma\)-measurable function\(\ell\)-miserable set\(\ell\)-neighborhoodBP-measurable functionconically quasi-continuous functionfunction of the first Baire class

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Extension of maps (54C20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Real-valued functions in general topology (54C30) Classification of real functions; Baire classification of sets and functions (26A21)

Related Items

Linearly continuous maps discontinuous on the graphs of twice differentiable functions

Cites Work

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• Une Caracterisation des Ensembles des Points de Discontinuite des Fonctions Lineairement-Continues
• The discontinuity point sets of quasi-continuous functions
• The Continuity of Functions of Many Variables
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