Prescribed sets of continuity: Baire-Kuratowski theorem, derivatives, and lineability

DOI10.1016/J.JMAA.2022.126373OpenAlexW4281925864WikidataQ115188877 ScholiaQ115188877MaRDI QIDQ2154413

Antonio Bonilla, Luis Bernal-González

Publication date: 19 July 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126373

zbMATH Keywords

real functionsdifferentiable functionspositive conescontinuity pointslineabilityBaire-one functionsperfect normality\(G_\delta\)-setsresolvable spaces

Mathematics Subject Classification ID

Continuous maps (54C05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Classification of real functions; Baire classification of sets and functions (26A21) Lineability in functional analysis (46B87)

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