Algebraic genericity within the class of sup-measurable functions

DOI10.1016/J.JMAA.2019.123576zbMath1429.28001OpenAlexW2979839564WikidataQ127130419 ScholiaQ127130419MaRDI QIDQ2009303

D. L. Rodríguez-Vidanes, Luis Bernal-González, Juan B. Seoane-Sepúlveda, Gustavo A. Muñoz-Fernández

Publication date: 28 November 2019

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.2019.123576

zbMATH Keywords

Lebesgue measureBaire propertylineabilitysup-measurable functionsnon-measurable functionsCaratheodory superpositioncategory and measure

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Applications of set theory (03E75)

Related Items (7)

Lineability and integrability in the sense of Riemann, Lebesgue, Denjoy, and Khintchine ⋮ Unnamed Item ⋮ Algebraic genericity and summability within the non-Archimedean setting ⋮ Lineability, continuity, and antiderivatives in the non-Archimedean setting ⋮ On lineability of families of non-measurable functions of two variable ⋮ On the dimension of subspaces of continuous functions attaining their maximum finitely many times ⋮ Classical vs. non-Archimedean analysis: an approach via algebraic genericity

Cites Work

• Unnamed Item
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• Independent Bernstein sets and algebraic constructions
• On lineability of sets of continuous functions
• Vector spaces of non-measurable functions
• Lineability and additivity in \(\mathbb R^{\mathbb R}\)
• Riemann integrability and Lebesgue measurability of the composite function
• Algebras of measurable extendable functions of maximal cardinality
• Highly tempering infinite matrices
• An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
• On the sup-measurable functions problem
• \([\mathcal{S}\)-linear and convex structures in function families]
• Measured creatures
• Basic sequences and spaceability in \(\ell_p\) spaces
• Lineability criteria, with applications
• Bounded linear non-absolutely summing operators
• Algebrability, non-linear properties, and special functions
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• Sierpiński-Zygmund functions and other problems on lineability
• Some Properties of Measure and Category
• Corrections and Additions to "Some Properties of Measure and Category"
• Isometrical embeddings of separable Banach spaces into the set of nowhere approximatively differentiable and nowhere Hölder functions
• Differentiability versus continuity: Restriction and extension theorems and monstrous examples
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Strong algebrability of sets of sequences and functions
• On the zero-set of 2-homogeneous polynomials in Banach spaces
• Some results and open questions on spaceability in function spaces

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