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

DOI10.2478/s11533-012-0144-1zbMath1259.28005OpenAlexW2018743482MaRDI QIDQ1939365

François G. Dorais, Tomasz Natkaniec, Rafał Filipów

Publication date: 4 March 2013

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-012-0144-1

zbMATH Keywords

connectivity functionDarboux functionextendable functionMarczewski measurable functioncovering property axiom\((s)\)-measurable function\((s)\)-measurable setMarczewski measurable set

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Consistency and independence results (03E35) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

The Steinhaus theorem and regular variation: de Bruijn and after ⋮ On subadditive functions bounded above on a ``large set

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