Group action and shift-compactness

DOI10.1016/j.jmaa.2012.02.021zbMath1251.54035OpenAlexW2051715113MaRDI QIDQ425315

Harry I. Miller, Adam J. Ostaszewski

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.021

zbMATH Keywords

\(\alpha \)-FavourabilityAlmost completenessAnalytic setsDensity topologyEffros open mapping theoremFox-Mosco convergenceGroup-normHit-and-miss topologiesIdeal topologiesNon-commutative groupsShift-compactnessTopological groupVan Mill separation property

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Topological groups (topological aspects) (54H11) Foundations: limits and generalizations, elementary topology of the line (26A03) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (15)

Convergence in measure and in category, similarities and differences ⋮ The Steinhaus-Weil property: its converse, subcontinuity and Solecki amenability ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Beyond Lebesgue and Baire. III: Steinhaus' theorem and its descendants ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Effros, Baire, Steinhaus and non-separability ⋮ Set theory and the analyst ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ Unnamed Item ⋮ Beyond Erdős-Kunen-Mauldin: shift-compactness properties and singular sets ⋮ General regular variation, Popa groups and quantifier weakening ⋮ The Steinhaus theorem and regular variation: de Bruijn and after ⋮ On subadditive functions bounded above on a ``large set ⋮ More measure and category questions for subsequences of a given sequence

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