Covering an additive function by \(< \mathfrak c\)-many continuous functions

DOI10.1016/j.jmaa.2011.09.035zbMath1235.26004OpenAlexW2057905808MaRDI QIDQ655475

Tomasz Natkaniec

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.035

zbMATH Keywords

Hamel basisadditive function\(\kappa \)-continuous functioncovering property axiom CPAstrongly \(\kappa \)-continuous function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17)

Related Items (1)

On some properties of Hamel bases and their applications to Marczewski measurable functions

Cites Work

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• Nice Hamel bases under the covering property axiom
• On additive countably continuous functions
• On strongly countably continuous functions
• Universal Functions and Generalized Classes of Functions
• Some Properties of Measure and Category

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