“Big” Continuous Restrictions of Arbitrary Functions

DOI10.1080/00029890.2019.1586263zbMath1423.26005OpenAlexW2947835806MaRDI QIDQ5378541

María E. Martínez-Gómez, Krzysztof Chris Ciesielski, Juan B. Seoane-Sepúlveda

Publication date: 3 June 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1586263

zbMATH Keywords

Sierpiński-Zygmund functionBlumberg's theoremBlumberg's set

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) Axiom of choice and related propositions (03E25)

Related Items (5)

Lineability of the functions that are Sierpiński-Zygmund, Darboux, but not connectivity ⋮ Different notions of Sierpiński-Zygmund functions ⋮ Lineability and algebrability within \(p\)-adic function spaces ⋮ Unnamed Item ⋮ A century of Sierpiński-Zygmund functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalizing the Blumberg theorem.
• Martin's axiom implies a stronger version of Blumberg's theorem
• Measured creatures
• On a theorem of Henry Blumberg
• A Measure Theoretic Variant of Blumberg's Theorem
• Restrictions to Continuous Functions and Boolean Algebras
• Set Theoretic Real Analysis
• Metric Spaces in which Blumberg's Theorem Holds

This page was built for publication: “Big” Continuous Restrictions of Arbitrary Functions