Uniqueness of spaces pretangent to metric spaces at infinity
We find the necessary and sufficient conditions under which an unbounded metric space X has, at infinity, a unique pretangent space Ωˣ∞, ř for every scaling sequence ř. In particular, it is proved that Ωˣ∞, ř is unique and isometric to the closure of X for every logarithmic spiral X and every ř. It...
Збережено в:
| Дата: | 2019 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Russian |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
|
| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169432 |
| 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: | Uniqueness of spaces pretangent to metric spaces at infinity / O. Dovgoshey, V. Bilet // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 57-87. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-169432 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1694322020-06-14T01:26:25Z Uniqueness of spaces pretangent to metric spaces at infinity Dovgoshey, O. Bilet, V. We find the necessary and sufficient conditions under which an unbounded metric space X has, at infinity, a unique pretangent space Ωˣ∞, ř for every scaling sequence ř. In particular, it is proved that Ωˣ∞, ř is unique and isometric to the closure of X for every logarithmic spiral X and every ř. It is also shown that the uniqueness of pretangent spaces to subsets of a real line is closely related to the “asymptotic asymmetry” of these subsets. 2019 Article Uniqueness of spaces pretangent to metric spaces at infinity / O. Dovgoshey, V. Bilet // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 57-87. — Бібліогр.: 12 назв. — англ. 1810-3200 2010 MSC. 54E35 http://dspace.nbuv.gov.ua/handle/123456789/169432 ru 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 |
Russian |
| description |
We find the necessary and sufficient conditions under which an unbounded metric space X has, at infinity, a unique pretangent space Ωˣ∞, ř for every scaling sequence ř. In particular, it is proved that Ωˣ∞, ř is unique and isometric to the closure of X for every logarithmic spiral X and every ř. It is also shown that the uniqueness of pretangent spaces to subsets of a real line is closely related to the “asymptotic asymmetry” of these subsets. |
| format |
Article |
| author |
Dovgoshey, O. Bilet, V. |
| spellingShingle |
Dovgoshey, O. Bilet, V. Uniqueness of spaces pretangent to metric spaces at infinity Український математичний вісник |
| author_facet |
Dovgoshey, O. Bilet, V. |
| author_sort |
Dovgoshey, O. |
| title |
Uniqueness of spaces pretangent to metric spaces at infinity |
| title_short |
Uniqueness of spaces pretangent to metric spaces at infinity |
| title_full |
Uniqueness of spaces pretangent to metric spaces at infinity |
| title_fullStr |
Uniqueness of spaces pretangent to metric spaces at infinity |
| title_full_unstemmed |
Uniqueness of spaces pretangent to metric spaces at infinity |
| title_sort |
uniqueness of spaces pretangent to metric spaces at infinity |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169432 |
| citation_txt |
Uniqueness of spaces pretangent to metric spaces at infinity / O. Dovgoshey, V. Bilet // Український математичний вісник. — 2019. — Т. 16, № 1. — С. 57-87. — Бібліогр.: 12 назв. — англ. |
| series |
Український математичний вісник |
| work_keys_str_mv |
AT dovgosheyo uniquenessofspacespretangenttometricspacesatinfinity AT biletv uniquenessofspacespretangenttometricspacesatinfinity |
| first_indexed |
2023-10-18T22:25:10Z |
| last_indexed |
2023-10-18T22:25:10Z |
| _version_ |
1796155466878812160 |