Baire functions and non-isolated non-monotone discontinuities

DOI10.1016/j.topol.2024.108842OpenAlexW4391426010MaRDI QIDQ6192980

Murugan Veerapazham, Kiran Antony

Publication date: 12 March 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2024.108842

zbMATH Keywords

discontinuityBaire functionperfect kernelBorel of additive class \(k\)non-monotone point

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Classification of real functions; Baire classification of sets and functions (26A21)

Cites Work

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• On composition of Baire functions
• Linear extensions of Baire-alpha functions
• Non-isolated, non-strictly monotone points of iterates of continuous functions
• An equivalent definition of functions of the first Baire class
• Classes of Baire Functions
• The space of class $\alpha$ Baire functions
• PM functions, their characteristic intervals and iterative roots
• Sur les suites convergentes des fonctions mesurables B
• Some Characterizations of Functions of Baire Class 1
• Baire Functions and their Restrictions to Special Sets
• On Borel Measures and Baire's Class 3
• Non-separable metric spaces

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