The semigroup of ultrafilters near an idempotent of a semitopological semigroup

DOI10.1016/j.topol.2012.08.009zbMath1285.54017OpenAlexW2049907279MaRDI QIDQ714757

T. Vahed, Mohammad Akbari Tootkaboni

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.08.009

zbMATH Keywords

ultrafilterStone-Čech compactificationminimal idealpiecewise syndetic setsyndetic setcentral set

Mathematics Subject Classification ID

Structure of topological semigroups (22A15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (7)

Large sets near idempotent and its product ⋮ Dynamical notions along filters ⋮ Dynamics near an idempotent ⋮ Central sets theorem near zero ⋮ Dynamical characterization of central sets along filter ⋮ Density near zero ⋮ Unnamed Item

Cites Work

• Image partition regularity near zero
• The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
• Algebra in the Stone-Čech compactification: theory and applications
• The semigroup of ultrafilters near 0
• Points very close to the smallest ideal of \(\beta S\)
• Central sets and their combinatorial characterization
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