Sumset phenomenon in locally compact topological groups

DOI10.1016/J.TOPOL.2021.107853zbMath1487.22003OpenAlexW3198927748MaRDI QIDQ2665195

Sourav Kanti Patra, Mohammad Akbari Tootkaboni

Publication date: 18 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107853

zbMATH Keywords

Haar measurepiecewise syndeticFølner net

Mathematics Subject Classification ID

Density, gaps, topology (11B05) General properties and structure of LCA groups (22B05) General groups of measure-preserving transformations and dynamical systems (37A15)

Cites Work

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• An elementary proof of Jin's theorem with a bound
• Algebra in the Stone-Čech compactification. Theory and applications
• Density in arbitrary semigroups
• An ultrafilter approach to Jin's theorem
• Central sets and their combinatorial characterization
• Density in locally compact topological groups
• Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters
• Ultrafilters on semitopological semigroups
• The sumset phenomenon
• Szemerédi-type theorems for subsets of locally compact abelian groups of positive upper Banach density

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