Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\)

DOI10.1007/s00025-020-01287-0zbMath1473.26005OpenAlexW3114494778MaRDI QIDQ2034849

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

Publication date: 23 June 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01287-0

zbMATH Keywords

extendable functionsadditivityDarboux-like functionslineability

Mathematics Subject Classification ID

Function spaces in general topology (54C35) 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)

Almost continuous Sierpiński-Zygmund functions under different set-theoretical assumptions ⋮ \( \mathfrak{c} \)-lineability: a general method and its application to Darboux-like maps ⋮ Maximal lineability of several subclasses of Darboux-like maps on \(\mathbb{R}\) ⋮ Unnamed Item ⋮ Maximal lineability of the class of Darboux not connectivity maps on \(\mathbb{R}\) ⋮ A century of Sierpiński-Zygmund functions ⋮ Maximal lineability of the classes of functions in the algebra of Darboux-like maps that are Darboux but not connectivity

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