Linearly continuous maps discontinuous on the graphs of twice differentiable functions

DOI10.1090/proc/16235OpenAlexW4295681660MaRDI QIDQ5880233

D. L. Rodríguez-Vidanes, Krzysztof Chris Ciesielski

Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16235

zbMATH Keywords

separate continuitydifferentiable nowhere monotone functionslinearly continuous functions

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Continuity and differentiation questions (26B05)

Cites Work

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• An expanding system of linearly closed sets
• A continuous tale on continuous and separately continuous functions
• Linearly continuous functions and \(F_\sigma\)-measurability
• Sets of discontinuities of linearly continuous functions
• Sets of discontinuities for functions continuous on flats
• Monsters in Calculus
• A remark on functions continuous on all lines
• The Continuity of Functions of Many Variables

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