Differentiability of continuous functions in terms of Haar-smallness

DOI10.1016/j.topol.2020.107353zbMath1455.26002arXiv1810.03175OpenAlexW3047515386MaRDI QIDQ2216578

Wojciech Aleksander Wołoszyn, Adam Kwela

Publication date: 16 December 2020

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

Full work available at URL: https://arxiv.org/abs/1810.03175

zbMATH Keywords

continuous functionsnowhere differentiable functionsHaar-null setsHaar-meager setsHaar-small sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Continuity and differentiation questions (26B05) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (1)

Haar-smallest sets

Cites Work

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• Less than 2^ωmany translates of a compact nullset may cover the real line
• On Borel sets belonging to every invariant ccc $\sigma $-ideal on $2^{\mathbb {N}}$

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