Separately continuous functions with a given rectangular set of points of discontinuity

DOI10.1007/S40879-022-00549-1zbMath1496.54012OpenAlexW4281874823MaRDI QIDQ2157483

Mykola Kozlovskyi, Volodymyr V. Mykhaylyuk

Publication date: 22 July 2022

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

Full work available at URL: https://doi.org/10.1007/s40879-022-00549-1

zbMATH Keywords

Čech-Stone compactificationseparately continuous functioncompact spacediscontinuity points set

Mathematics Subject Classification ID

Compactness (54D30) Weak and generalized continuity (54C08) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Real-valued functions in general topology (54C30)

Cites Work

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• Separate and joint continuity
• Separate continuity and joint continuity
• Characterization of the sets of discontinuity points of separately continuous functions of many variables on the products of metrizable spaces
• Cluster Sets and Joint Continuity
• Inverse problems of the theory of separately continuous mappings
• Separately continuous functions of many variables on product of spaces which are products of metrizable multipliers
• The Continuity of Functions of Many Variables

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