On free vector balleans
A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean V(X, E) and describe the coarse structure of V(X, E). It is shown that normali...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188423 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On free vector balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 70–74. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699916004950016 |
|---|---|
| author | Protasov, I. Protasova, K. |
| author_facet | Protasov, I. Protasova, K. |
| citation_txt | On free vector balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 70–74. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean V(X, E) and describe the coarse structure of V(X, E). It is shown that normality of V(X, E) is equivalent to metrizability of (X, E).
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| first_indexed | 2025-12-07T16:37:35Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188423 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:37:35Z |
| publishDate | 2019 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I. Protasova, K. 2023-02-28T19:09:13Z 2023-02-28T19:09:13Z 2019 On free vector balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 70–74. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC: 46A17, 54E35 https://nasplib.isofts.kiev.ua/handle/123456789/188423 A vector balleans is a vector space over R endowed with a coarse structure in such a way that the vector operations are coarse mappings. We prove that, for every ballean (X, E), there exists the unique free vector ballean V(X, E) and describe the coarse structure of V(X, E). It is shown that normality of V(X, E) is equivalent to metrizability of (X, E). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On free vector balleans Article published earlier |
| spellingShingle | On free vector balleans Protasov, I. Protasova, K. |
| title | On free vector balleans |
| title_full | On free vector balleans |
| title_fullStr | On free vector balleans |
| title_full_unstemmed | On free vector balleans |
| title_short | On free vector balleans |
| title_sort | on free vector balleans |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188423 |
| work_keys_str_mv | AT protasovi onfreevectorballeans AT protasovak onfreevectorballeans |