Selective survey on Subset Combinatorics of Groups
Vernadsky National Library of Ukraine
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Title |
Selective survey on Subset Combinatorics of Groups
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Creator |
Protasov, I.V.
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Description |
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.
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Date |
2017-09-24T16:05:34Z
2017-09-24T16:05:34Z 2010 |
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Type |
Article
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Identifier |
Selective survey on Subset Combinatorics of Groups / I.V. Protasov // Український математичний вісник. — 2010. — Т. 7, № 2. — С. 220-257. — Бібліогр.: 53 назв. — англ.
1810-3200 2010 MSC. 20A05, 20F99, 22A15, 06E15, 06E25. http://dspace.nbuv.gov.ua/handle/123456789/124388 |
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Language |
en
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Relation |
Український математичний вісник
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Publisher |
Інститут прикладної математики і механіки НАН України
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