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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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Онлайн доступ: | 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 |
| Цитувати: | Selective survey on Subset Combinatorics of Groups / I.V. Protasov // Український математичний вісник. — 2010. — Т. 7, № 2. — С. 220-257. — Бібліогр.: 53 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737936860053504 |
|---|---|
| author | Protasov, I.V. |
| author_facet | Protasov, I.V. |
| 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. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| 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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| first_indexed | 2025-12-07T20:01:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124388 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T20:01:49Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Selective survey on Subset Combinatorics of Groups Protasov, I.V. |
| title | 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_short | Selective survey on Subset Combinatorics of Groups |
| title_sort | selective survey on subset combinatorics of groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124388 |
| work_keys_str_mv | AT protasoviv selectivesurveyonsubsetcombinatoricsofgroups |