Dichotomies of the set of test measures of a Haar-null set

DOI10.1007/BF02984404zbMath1062.43002arXiv1006.2673MaRDI QIDQ1769167

Pandelis Dodos

Publication date: 21 March 2005

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

Full work available at URL: https://arxiv.org/abs/1006.2673

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (5)

A theorem of Piccard's type in abelian Polish groups ⋮ Remarks on Analogies Between Haar Meager Sets and Haar Null Sets ⋮ Haar null and Haar meager sets: a survey and new results ⋮ Unnamed Item ⋮ Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

Cites Work

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• Open mapping theorems for probability measures on metric spaces
• On sets of Haar measure zero in abelian Polish groups
• Haar null and non-dominating sets
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• On the Measurability of Orbits in Borel Actions
• Examples of non-shy sets
• A note on intersections of non-Haar null sets
• The gap between probability and prevalence: Loneliness in vector spaces
• On certain regularity properties of Haar-null sets

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