On recurrence in G-spaces
We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G×X⟶X, (g,x)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, B⊆A}, and say that a subset R of G is F-recurrent if R⋂ΔF(A)≠∅ for each A∈F....
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/156022 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On recurrence in G-spaces / I.V. Protasov, K.D. Protasova // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 279-284. — Бібліогр.: 6 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672782582611968 |
|---|---|
| author | Protasov, I.V. Protasova, K.D. |
| author_facet | Protasov, I.V. Protasova, K.D. |
| citation_txt | On recurrence in G-spaces / I.V. Protasov, K.D. Protasova // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 279-284. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G×X⟶X, (g,x)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, B⊆A}, and say that a subset R of G is F-recurrent if R⋂ΔF(A)≠∅ for each A∈F.
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| first_indexed | 2025-12-07T15:37:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156022 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:37:08Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I.V. Protasova, K.D. 2019-06-17T18:57:22Z 2019-06-17T18:57:22Z 2017 On recurrence in G-spaces / I.V. Protasov, K.D. Protasova // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 279-284. — Бібліогр.: 6 назв. — англ. 1726-3255 2010 MSC:37A05, 22A15, 03E05. https://nasplib.isofts.kiev.ua/handle/123456789/156022 We introduce and analyze the following general concept of recurrence. Let G be a group and let X be a G-space with the action G×X⟶X, (g,x)⟼gx. For a family F of subset of X and A∈F, we denote ΔF(A)={g∈G:gB⊆A for some B∈F, B⊆A}, and say that a subset R of G is F-recurrent if R⋂ΔF(A)≠∅ for each A∈F. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On recurrence in G-spaces Article published earlier |
| spellingShingle | On recurrence in G-spaces Protasov, I.V. Protasova, K.D. |
| title | On recurrence in G-spaces |
| title_full | On recurrence in G-spaces |
| title_fullStr | On recurrence in G-spaces |
| title_full_unstemmed | On recurrence in G-spaces |
| title_short | On recurrence in G-spaces |
| title_sort | on recurrence in g-spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156022 |
| work_keys_str_mv | AT protasoviv onrecurrenceingspaces AT protasovakd onrecurrenceingspaces |