Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

DOI10.4064/dm812-2-2021zbMath1503.54023arXiv1803.06712OpenAlexW2792517180MaRDI QIDQ5029006

Eliza Jabłońska, Jarosław Swaczyna, Szymon Głąb, Taras Banakh

Publication date: 11 February 2022

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06712

zbMATH Keywords

Polish group\(\sigma\)-idealSteinhaus propertyHaar-null setgenerically \text{Haar-\(\mathcal{I}\)} setHaar-meager set, \text{Haar-\(\mathcal{I}\)} set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Topological groups (topological aspects) (54H11) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Analysis on general topological groups (22A10)

Related Items (8)

Null-finite sets in topological groups and their applications ⋮ Properties of \(K\)-additive set-valued maps ⋮ How large is the space of almost convergent sequences? ⋮ Error recognition in the Cantor cube ⋮ 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 ⋮ \(K\)-subadditive and \(K\)-superadditive set-valued functions bounded on ``large sets

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