Selective survey on subset combinatorics of groups.

DOI10.1007/s10958-011-0314-xzbMath1283.20029OpenAlexW2070268724MaRDI QIDQ389108

Igor Vladimirov Protasov

Publication date: 17 January 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/124388

zbMATH Keywords

densitycellularityspreadresolvabilitykaleidoscopical configurationslarge subsets of groupspacking numberssmall subsets of groupsthick subsets of groupsthin subsets of groups

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Generators, relations, and presentations of groups (20F05) Topological groups (topological aspects) (54H11) Combinatorial aspects of packing and covering (05B40) Means on groups, semigroups, etc.; amenable groups (43A07)

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A general theory for ends ⋮ Preservation and reflection of size properties of balleans ⋮ Thin subsets of topological groups ⋮ Descriptive complexity of the sizes of subsets of groups ⋮ Ideals in \(\mathcal{P}_G\) and \(\beta G\) ⋮ The combinatorial derivation and its inverse mapping. ⋮ Recent progress in subset combinatorics of groups ⋮ Some categorical aspects of coarse spaces and balleans ⋮ Categories of coarse groups: quasi-homomorphisms and functorial coarse structures ⋮ Algebraic characterizations of some relative notions of size ⋮ Asymptotic resemblance relations on groups ⋮ Cowellpoweredness and closure operators in categories of coarse spaces

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