\(D\)-sets in arbitrary semigroup

DOI10.1016/J.TOPOL.2020.107329OpenAlexW3044002133MaRDI QIDQ2215661

Sourav Kanti Patra, Surajit Biswas, Bedanta Bose

Publication date: 14 December 2020

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

Full work available at URL: https://arxiv.org/abs/1902.09622

zbMATH Keywords

Stone-Čech compactificationcombinatorial characterization\(C\)-set\(D\)-setdynamical characterization

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ramsey theory (05D10) Semigroups (20M99) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (1)

Large sets near idempotent and its product

Cites Work

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• Algebra in the Stone-Čech compactification. Theory and applications
• Density in arbitrary semigroups
• Solvability of Rado systems in \(D\)-sets
• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• The semigroup of ultrafilters near 0
• Dynamical characterizations of combinatorially rich sets near zero
• Central sets and their combinatorial characterization
• Combined algebraic properties of \(C^\ast\)-sets near zero
• A new and simpler noncommutative central sets theorem
• Sets satisfying the central sets theorem
• Nonmetrizable topological dynamical characterization of central sets
• Large sets of integers and hierarchy of mixing properties of measure preserving systems
• Semigroups Satisfying a Strong Folner Condition

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