Bruckner–Garg-Type Results with Respect to Haar Null Sets inC[0, 1]

DOI10.1017/S0013091515000577zbMath1365.28013arXiv1311.5293OpenAlexW2963121106MaRDI QIDQ2976348

Márton Elekes, Richárd Balka, Udayan B. Darji

Publication date: 28 April 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5293

zbMATH Keywords

continuous functionslevel setsHaar nullHaar ambivalent

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Banach spaces of continuous, differentiable or analytic functions (46E15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (3)

Haar null sets without \(G_{\delta}\) hulls ⋮ Haar null and Haar meager sets: a survey and new results ⋮ Singularity of maps of several variables and a problem of Mycielski concerning prevalent homeomorphisms

Cites Work

• Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps
• Haar ambivalent sets in the space of continuous functions
• Higher-dimensional Bruckner-Garg type theorem
• Pseudoarcs, pseudocircles, Lakes of Wada and generic maps on \(S^2\)
• On sets of Haar measure zero in abelian Polish groups
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces

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