Relatively thin and sparse subsets of groups.

DOI10.1007/s11253-011-0502-3zbMath1258.20027OpenAlexW1986973211MaRDI QIDQ765135

Ie. Lutsenko, Igor Vladimirov Protasov

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/166348

zbMATH Keywords

idealslarge subsetssmall subsetsthick subsetsadditive families of subsetscompact right topological semigroupsdownward closed families of subsetsleft invariant families of subsetssparse subsetsStone-Čech compactifications of discrete groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Generators, relations, and presentations of groups (20F05) Topological groups (topological aspects) (54H11) Asymptotic properties of groups (20F69) Stone spaces (Boolean spaces) and related structures (06E15) Means on groups, semigroups, etc.; amenable groups (43A07) Axiomatics and elementary properties of groups (20A05)

Related Items

Scattered subsets of groups ⋮ Preservation and reflection of size properties of balleans ⋮ Selective survey on subset combinatorics of groups. ⋮ Descriptive complexity of the sizes of subsets of groups ⋮ Thin subsets of groups. ⋮ Ideals in \(\mathcal{P}_G\) and \(\beta G\) ⋮ The combinatorial derivation and its inverse mapping. ⋮ On thin-complete ideals of subsets of groups.

Cites Work

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• Algebra in the Stone-Čech compactification: theory and applications
• On thin-complete ideals of subsets of groups.
• Boolean group ideals and the ideal structure of \(\beta G\).
• Completeness of invariant ideals in groups
• SPARSE, THIN AND OTHER SUBSETS OF GROUPS