Selective survey on Subset Combinatorics of Groups
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 i...
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| Veröffentlicht in: | Український математичний вісник |
|---|---|
| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/124388 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Selective survey on Subset Combinatorics of Groups / I.V. Protasov // Український математичний вісник. — 2010. — Т. 7, № 2. — С. 220-257. — Бібліогр.: 53 назв. — англ. |
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Protasov, I.V. 2017-09-24T16:05:34Z 2017-09-24T16:05:34Z 2010 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. https://nasplib.isofts.kiev.ua/handle/123456789/124388 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. en Інститут прикладної математики і механіки НАН України Український математичний вісник Selective survey on Subset Combinatorics of Groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Selective survey on Subset Combinatorics of Groups |
| spellingShingle |
Selective survey on Subset Combinatorics of Groups Protasov, I.V. |
| title_short |
Selective survey on Subset Combinatorics of Groups |
| title_full |
Selective survey on Subset Combinatorics of Groups |
| title_fullStr |
Selective survey on Subset Combinatorics of Groups |
| title_full_unstemmed |
Selective survey on Subset Combinatorics of Groups |
| title_sort |
selective survey on subset combinatorics of groups |
| author |
Protasov, I.V. |
| author_facet |
Protasov, I.V. |
| publishDate |
2010 |
| language |
English |
| container_title |
Український математичний вісник |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1810-3200 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/124388 |
| citation_txt |
Selective survey on Subset Combinatorics of Groups / I.V. Protasov // Український математичний вісник. — 2010. — Т. 7, № 2. — С. 220-257. — Бібліогр.: 53 назв. — англ. |
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AT protasoviv selectivesurveyonsubsetcombinatoricsofgroups |
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2025-12-07T20:01:49Z |
| last_indexed |
2025-12-07T20:01:49Z |
| _version_ |
1850881039083241472 |