Selective survey on subset combinatorics of groups.
DOI10.1007/s10958-011-0314-xzbMath1283.20029OpenAlexW2070268724MaRDI QIDQ389108
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
densitycellularityspreadresolvabilitykaleidoscopical configurationslarge subsets of groupspacking numberssmall subsets of groupsthick subsets of groupsthin subsets of groups
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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Cites Work
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- Kaleidoscopical configurations in \(G\)-spaces
- A new strong Laplacian on differential forms.
- Resolvability: A selective survey and some new results
- Relatively thin and sparse subsets of groups.
- Packing index of subsets in Polish groups
- Counting \(\Omega \)-ideals
- Balleans of bounded geometry and G-spaces
- Small subsets of groups.
- Some minimal group topologies are precompact
- Algebra in the Stone-Čech compactification: theory and applications
- Resolvability of groups
- Resolvability of \(\tau\)-bounded groups
- Translation invariant ideals
- Counting maximal topologies on countable groups and rings
- Boolean group ideals and the ideal structure of \(\beta G\).
- Algebra in superextensions of groups: minimal left ideals
- Sketch of vector balleans
- On closed ideals of \(\beta G\)
- Almost disjoint large subsets of semigroups
- Characterization of group algebras in terms of their translation operators
- Maximal resolvability of bounded groups
- Size of subsets of groups and Haar null sets
- A problem of set-theoretic topology
- Completeness of invariant ideals in groups
- Every infinite group can be generated by P-small subset
- WEAKLY P-SMALL NOT P-SMALL SUBSETS IN GROUPS
- Cellularity and density of balleans
- Constructing subsets of a given packing index in Abelian groups
- SPARSE, THIN AND OTHER SUBSETS OF GROUPS
- Spread of balleans
- Resolvability of ball structures
- On the Size of the Set of Left Invariant Means on a Semigroup
- Partitions of groups into large subsets.