Haar meager sets revisited

DOI10.1016/j.jmaa.2016.03.065zbMath1342.28010arXiv1510.01613OpenAlexW2963100016MaRDI QIDQ289559

Martin Rmoutil, Václav Vlasák, Martin Doležal, Benjamin Vejnar

Publication date: 30 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01613

zbMATH Keywords

Polish group\(\sigma\)-idealHaar meager setHaar null setnon-abelian groups

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Banach spaces of continuous, differentiable or analytic functions (46E15) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Hausdorff and packing measures (28A78)

Related Items (8)

Null-finite sets in topological groups and their applications ⋮ Haar meager sets, their hulls, and relationship to compact sets ⋮ Unnamed Item ⋮ Remarks on Analogies Between Haar Meager Sets and Haar Null Sets ⋮ Haar null and Haar meager sets: a survey and new results ⋮ A Haar meager set that is not strongly Haar meager ⋮ Low-complexity Haar null sets without $G_\delta $ hulls in $\mathbb {Z}^\omega $ ⋮ Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Cites Work

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• On Haar meager sets
• Openly Haar null sets and conjugacy in Polish groups
• Some analogies between Haar meager sets and Haar null sets in abelian Polish groups
• Haar null sets without \(G_{\delta}\) hulls
• On sets of Haar measure zero in abelian Polish groups
• Borel subgroups of Polish groups
• Examples of non-shy sets
• Examples of non-shy sets
• A \(1\)-dimensional subset of the reals that intersects each of its translates in at most a single point

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