Selective survey on Subset Combinatorics of Groups

dc.contributor.author	Protasov, I.V.
dc.date.accessioned	2017-09-24T16:05:34Z
dc.date.available	2017-09-24T16:05:34Z
dc.date.issued	2010
dc.identifier.citation	Selective survey on Subset Combinatorics of Groups / I.V. Protasov // Український математичний вісник. — 2010. — Т. 7, № 2. — С. 220-257. — Бібліогр.: 53 назв. — англ.	uk_UA
dc.identifier.issn	1810-3200
dc.identifier.other	2010 MSC. 20A05, 20F99, 22A15, 06E15, 06E25.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/124388
dc.description.abstract	We survey recent results concerning the combinatorial size of subsets of groups. For a cardinal k, according to its arrangement in a group G, a subset of G is distinguished as k-large, k-small, k-thin, k-thick and Pk-small. By analogy with topology, there arise the following combinatorial cardinal invariants of a group: density, cellularity, resolvability, spread etc. The paper consists of 7 sections: Ballean context, Amenability, Ideals, Partitions, Packings, Around thin subsets, Colorings.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Український математичний вісник
dc.title	Selective survey on Subset Combinatorics of Groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA