Algebras of measurable extendable functions of maximal cardinality

DOI10.1016/j.laa.2018.12.017zbMath1410.26010OpenAlexW2904856101WikidataQ128722892 ScholiaQ128722892MaRDI QIDQ1736221

D. L. Rodríguez-Vidanes, Juan B. Seoane-Sepúlveda, Krzysztof Chris Ciesielski

Publication date: 26 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.laa.2018.12.017

zbMATH Keywords

extendable functionsDarboux-like functionsalgebrabilitylineability

Mathematics Subject Classification ID

Weak and generalized continuity (54C08) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (7)

Lineability, differentiable functions and special derivatives ⋮ Algebraic genericity and the differentiability of the convolution ⋮ Algebraic genericity within the class of sup-measurable functions ⋮ \([\mathcal{S}\)-linear and convex structures in function families] ⋮ Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\) ⋮ Families of feebly continuous functions and their properties ⋮ A century of Sierpiński-Zygmund functions

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• Extending connectivity functions on \(\mathbb{R}^n\)

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