Null-finite sets in topological groups and their applications

DOI10.1007/s11856-018-1826-6zbMath1490.39032arXiv1706.08155OpenAlexW2907434838WikidataQ128668158 ScholiaQ128668158MaRDI QIDQ2631891

Taras Banakh, Eliza Jabłońska

Publication date: 16 May 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08155

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Functional equations for functions with more general domains and/or ranges (39B52) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (11)

The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability ⋮ Properties of \(K\)-additive set-valued maps ⋮ Further remarks on local \(K\)-boundedness of \(K\)-subadditive set-valued maps ⋮ Unnamed Item ⋮ Beyond Erdős-Kunen-Mauldin: shift-compactness properties and singular sets ⋮ Continuity properties of K-midconvex and K-midconcave set-valued maps ⋮ \(K\)-subadditive and \(K\)-superadditive set-valued functions bounded on ``large sets ⋮ On subadditive functions bounded above on a ``large set ⋮ Haar-smallest sets ⋮ The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\) ⋮ Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Cites Work

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• Additivity of the ideal of microscopic sets
• Haar meager sets revisited
• Haar meager sets, their hulls, and relationship to compact sets
• On Haar meager sets
• Some analogies between Haar meager sets and Haar null sets in abelian Polish groups
• Haar null sets without \(G_{\delta}\) hulls
• Automatic continuity of homomorphisms and fixed points on metric compacta
• Topological groups and related structures
• Category-measure duality: convexity, midpoint convexity and Berz sublinearity
• On sets of Haar measure zero in abelian Polish groups
• SPARSE, THIN AND OTHER SUBSETS OF GROUPS
• Christensen Zero Sets and Measurable Convex Functions
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• A note on intersections of non-Haar null sets
• Prevalence. An addendum to: “Prevalence: a translation-invariant ‘almost every’ on infinite-dimensional spaces” [Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 2, 217–238; MR1161274 (93k:28018)]
• The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability
• Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses
• Haar null and Haar meager sets: a survey and new results
• On Convex Functions
• Remarks on a Theorem of E. J. McShane
• Functional analysis and infinite-dimensional geometry

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