An example of an additive almost continuous Sierpiński-Zygmund function

DOI10.14321/realanalexch.30.1.0261zbMath1060.26004OpenAlexW1485978395MaRDI QIDQ1772940

Tomasz Natkaniec, Harvey Rosen

Publication date: 22 April 2005

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14321/realanalexch.30.1.0261

zbMATH Keywords

meager setsadditive functionalmost continuitySierpiński-Zygmund functionperfect roadCantor intermediate value property

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)

Related Items (7)

A large group of nonmeasurable additive functions ⋮ Examples of Sierpiński-Zygmund maps in the class of Darboux-like functions ⋮ Almost continuous Sierpiński-Zygmund functions under different set-theoretical assumptions ⋮ Different notions of Sierpiński-Zygmund functions ⋮ On extensions of partial functions ⋮ Unnamed Item ⋮ A century of Sierpiński-Zygmund functions

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