Beyond Lebesgue and Baire. III: Steinhaus' theorem and its descendants

DOI10.1016/j.topol.2013.04.005zbMath1285.22005OpenAlexW1999789154MaRDI QIDQ387914

Adam J. Ostaszewski

Publication date: 17 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.04.005

zbMATH Keywords

automatic continuityanalytic Baire and Cantor theoremsgroup-normmeasure-category dualitynon-commutative groupsshift-compactness

Mathematics Subject Classification ID

Structure of general topological groups (22A05)

Related Items (13)

Beurling moving averages and approximate homomorphisms ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ The semi-Polish theorem: one-sided vs joint continuity in groups ⋮ Beyond Haar and Cameron-Martin: the Steinhaus support ⋮ Effros, Baire, Steinhaus and non-separability ⋮ Some remarks on the Steinhaus property for invariant extensions of the Lebesgue measure ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Group action and shift-compactness ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ Beyond Lebesgue and Baire. IV: Density topologies and a converse Steinhaus-Weil theorem ⋮ Beyond Erdős-Kunen-Mauldin: shift-compactness properties and singular sets ⋮ General regular variation, Popa groups and quantifier weakening ⋮ More measure and category questions for subsequences of a given sequence

Cites Work

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• The semi-Polish theorem: one-sided vs joint continuity in groups
• Group action and shift-compactness
• Analytically heavy spaces: analytic Cantor and analytic Baire theorems
• The Steinhaus theorem and regular variation: de Bruijn and after
• Automatic continuity of homomorphisms and fixed points on metric compacta
• The Baire category theorem in products of linear spaces and topological groups
• Automatic continuity of group operations
• A survey of homogeneous structures
• A characterization of a class of uniform spaces that admit an invariant integral
• Borel subgroups of Polish groups
• Polish topometric groups
• Analytic Baire spaces
• More on the Borwein-Ditor theorem
• K ‐analytic sets
• Kingman, category and combinatorics
• Normed versus topological groups: Dichotomy and duality
• Homotopy and the Kestelman–Borwein–Ditor Theorem
• Analytic groups and pushing small sets apart
• Generic Automorphisms of Homogeneous Structures
• On the Representation of Nonseparable Analytic Sets
• A General Functional Equation
• Generalizations of the $G_\delta$-property of complete metric spaces
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• A Note on the Effros Theorem
• A topological version of the Bergman property
• Automatic Continuity of Group Homomorphisms
• Infinite combinatorics in function spaces: Category methods
• Haar Measure for Compact Right Topological Groups
• Note on category in Cartesian products of metrizable spaces
• Translates of Sequences in Sets of Positive Measure
• The Small Index Property for ω‐Stable ω‐Categorical Structures and for the Random Graph
• Weakly α-favourable measure spaces
• On notions of genericity and mutual genericity
• On Some Measures Analogous to Haar Measure.
• Difference-Sets and the Banach-Steinhaus Theorem
• The Convergent Sequences Belonging To a Set
• Generalization of a theorem of Bogolioùboff to topological groups. With an appendix on Banach mean values in nonabelian groups
• Local Metric Geometry

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