The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability

zbMath1463.22002arXiv1607.00049MaRDI QIDQ4971075

Nicholas H. Bingham, Adam J. Ostaszewski

Publication date: 8 October 2020

Full work available at URL: https://arxiv.org/abs/1607.00049

zbMATH Keywords

Haar measureleft Haar nullSteinhaus-Weil propertyamenability at 1measure subcontinuityinterior-points propertyselective measureSimmons-Mospan theorem

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) Analysis on general topological groups (22A10)

Related Items (10)

Null-finite sets in topological groups and their applications ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Unnamed Item ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ Variants on the Berz sublinearity theorem ⋮ Unnamed Item ⋮ Beyond Erdős-Kunen-Mauldin: shift-compactness properties and singular sets ⋮ General regular variation, Popa groups and quantifier weakening ⋮ Unnamed Item ⋮ Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses

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