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...
Збережено в:
| Дата: | 2010 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
|
| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124388 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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| id |
irk-123456789-124388 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1243882017-09-25T03:03:09Z Selective survey on Subset Combinatorics of Groups Protasov, I.V. 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. 2010 Article 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 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Protasov, I.V. |
| spellingShingle |
Protasov, I.V. Selective survey on Subset Combinatorics of Groups Український математичний вісник |
| author_facet |
Protasov, I.V. |
| author_sort |
Protasov, I.V. |
| title |
Selective survey on Subset Combinatorics of Groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT protasoviv selectivesurveyonsubsetcombinatoricsofgroups |
| first_indexed |
2023-10-18T20:46:18Z |
| last_indexed |
2023-10-18T20:46:18Z |
| _version_ |
1796151067237416960 |