Diagonals of Separately Absolutely Continuous Mappings Coincide with the Sums of Absolutely Convergent Series of Continuous Functions

DOI10.1017/S0013091515000103zbMath1342.26010MaRDI QIDQ2806125

Olena Karlova, Oleksandr V. Sobchuk, Volodymyr V. Mykhaylyuk

Publication date: 13 May 2016

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

zbMATH Keywords

diagonalabsolutely continuous functionabsolute Baire-one mapping

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) 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)

Cites Work

• Unnamed Item
• On a problem of Eidelheit from the Scottish Book concerning absolutely continuous functions
• Borel measurability of separately continuous functions
• BAIRE MEASURABILITY OF SEPARATELY CONTINUOUS FUNCTIONS

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