Ideals and idempotents in the uniform ultrafilters

DOI10.1016/J.TOPOL.2018.01.012zbMath1388.54020arXiv1505.02102OpenAlexW2964214245MaRDI QIDQ684029

William Rea Brian

Publication date: 9 February 2018

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

Full work available at URL: https://arxiv.org/abs/1505.02102

zbMATH Keywords

minimal left idealsStone-Čech compactificationleft-maximal idempotentsuniform ultrafiltersweak \(P_\kappa\)-sets

Mathematics Subject Classification ID

Applications of set theory (03E75) Structure of topological semigroups (22A15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Connections of general topology with other structures, applications (54H99)

Related Items (3)

Some new results about left ideals of \(\beta S\) ⋮ Factoring a minimal ultrafilter into a thick part and a syndetic part ⋮ Minimal left ideals of \(\beta S\) with isolated points

Cites Work

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• Algebra in the Stone-Čech compactification. Theory and applications
• Left maximal idempotents in \(G^\ast\)
• Limits in the uniform ultrafilters
• $G_\delta $ and co-meager semifilters
• Longer chains of idempotents in βG
• Principal left ideals of β G may be both minimal and maximal
• P-sets and minimal right ideals in N^*

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