Compactifications of discrete versions of semitopological semigroups by filters of zero sets

DOI10.1017/S0305004100069826zbMath0751.22001MaRDI QIDQ3971669

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Publication date: 25 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Stone-Čech compactificationcompact metrizable groupHausdorff compactificationcompact right topological semigroupsright topological compactificationsprime \(z\)-filtersfilter of zero setsweakly cancellative, semitopological semigroup

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Structure of topological semigroups (22A15) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Cites Work

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• Free groups and semigroups in \(\beta\) N
• Filters and semigroup properties
• Construction of right topological compactifications for discrete versions of subsemigroups of compact groups
• A short proof of \(\beta (G\backslash \{1\})=G\) for non-metrizable compact groups G
• A construction of compact right topological semigroups from compact groups

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