On functions that are almost continuous and perfectly everywhere surjective but not Jones. Lineability and additivity

DOI10.1016/J.TOPOL.2017.12.017zbMath1384.26016OpenAlexW2772763945MaRDI QIDQ683972

Juan B. Seoane-Sepúlveda, Tomasz Natkaniec, José Luis Gámez-Merino, Krzysztof Chris Ciesielski

Publication date: 9 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.12.017

zbMATH Keywords

additivityalmost continuous functionBernstein setlineabilityalmost disjoint familyJones functioncovering property axiom CPAperfectly everywhere surjective

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Vector spaces, linear dependence, rank, lineability (15A03) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (6)

Lineability, algebrability, and sequences of random variables ⋮ Differentiability versus continuity: Restriction and extension theorems and monstrous examples ⋮ Algebraic genericity and the differentiability of the convolution ⋮ Nowhere Hölderian functions and Pringsheim singular functions in the disc algebra ⋮ Algebras of measurable extendable functions of maximal cardinality ⋮ On lineability of families of non-measurable functions of two variable

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