Small subsets of groups.

DOI10.1016/j.topol.2009.04.011zbMath1189.20033OpenAlexW2073197442MaRDI QIDQ1032906

Igor Vladimirov Protasov

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.2009.04.011

zbMATH Keywords

thin subsets of groupslarge subsetssmall subsetsStone-Čech compactifications of discrete groupsBoolean group idealssmall sets of generators

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Applications of logic to group theory (20A15) Generators, relations, and presentations of groups (20F05) Topological groups (topological aspects) (54H11) Stone spaces (Boolean spaces) and related structures (06E15) Other combinatorial set theory (03E05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Preservation and reflection of size properties of balleans ⋮ Selective survey on subset combinatorics of groups. ⋮ A selection of open problems

Cites Work

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• Some minimal group topologies are precompact
• Algebra in the Stone-Čech compactification: theory and applications
• Translation invariant ideals
• Almost disjoint large subsets of semigroups
• Maximal resolvability of bounded groups
• Asymptotic topology
• Some operations related with translation
• Cellularity and density of balleans
• SPARSE, THIN AND OTHER SUBSETS OF GROUPS
• On the Size of the Set of Left Invariant Means on a Semigroup

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