Sum of Sierpiński-Zygmund and Darboux like functions

DOI10.1016/S0166-8641(01)00184-5zbMath1005.26001MaRDI QIDQ1612278

Krzysztof Płotka

Publication date: 22 August 2002

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

zbMATH Keywords

almost continuous functionsDarboux functionsSierpiński-Zygmund functionscardinal function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Continuum hypothesis and Martin's axiom (03E50) Applications of set theory (03E75)

Related Items

On functions whose graph is a Hamel basis, Some remarks on Sierpiński-Zygmund functions in the strong sense, Darboux functions with nowhere dense graphs, Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\), Unnamed Item, Algebrability, non-linear properties, and special functions, A century of Sierpiński-Zygmund functions, Linear subsets of nonlinear sets in topological vector spaces

Cites Work

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• Almost continuity and connectivity - sometimes it's as easy to prove a stronger result
• Almost continuity
• Algebraic properties of the class of Sierpiński-Zygmund functions
• Cardinal invariants concerning extendable and peripherally continuous functions
• Sierpiński-Zygmund functions that are Darboux, almost continuous, or have a perfect road
• Darboux-like functions within the classes of Baire one, Baire two, and additive functions
• Cardinal invariants concerning functions whose sum is almost continuous
• Darboux like functions
• Sums and limits of almost continuous functions
• Sums of Darboux-like functions from \(\mathbf R^n\) to \(\mathbf R^m\)