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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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-156022 |
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dspace |
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irk-123456789-1560222019-06-18T01:31:28Z On recurrence in G-spaces Protasov, I.V. Protasova, K.D. 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. 2017 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156022 en Algebra and Discrete Mathematics 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 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. |
| format |
Article |
| author |
Protasov, I.V. Protasova, K.D. |
| spellingShingle |
Protasov, I.V. Protasova, K.D. On recurrence in G-spaces Algebra and Discrete Mathematics |
| author_facet |
Protasov, I.V. Protasova, K.D. |
| author_sort |
Protasov, I.V. |
| title |
On recurrence in G-spaces |
| title_short |
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_sort |
on recurrence in g-spaces |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156022 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT protasoviv onrecurrenceingspaces AT protasovakd onrecurrenceingspaces |
| first_indexed |
2023-05-20T17:48:50Z |
| last_indexed |
2023-05-20T17:48:50Z |
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1796154144766033920 |