Maximal groups in \(\beta S\) can be trivial

DOI10.1016/J.TOPOL.2009.04.022zbMath1181.22007OpenAlexW2045508087MaRDI QIDQ1032903

Lakeshia Legette

Publication date: 5 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.022

zbMATH Keywords

semigroupMartin's axiomStone-Čech compactificationstrongly summable ultrafilterunion ultrafiltermaximal groupordered union ultrafilter

Mathematics Subject Classification ID

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

Cites Work

• Strongly summable ultrafilters on \({\mathbb{N}}\) and small maximal subgroups of \(\beta\) \({\mathbb{N}}\)
• Algebra in the Stone-Čech compactification: theory and applications
• On Strongly Summable Ultrafilters and Union Ultrafilters
• The existence of disjoint smallest ideals in the two natural products on \(\beta S\)

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