On the universal ultrametric space
An ultrametric space in which any separable ultrametric space can be isometrically imbedded is constructed. We describe the method for isometric imbedding of any separable ultrametric space into l 1,l 2 andc 0 based on the application of this universal space.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5578 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511808014516224 |
|---|---|
| author | Vestfrid, I. A Вестфрид, А. |
| author_facet | Vestfrid, I. A Вестфрид, А. |
| author_sort | Vestfrid, I. A |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:51Z |
| description | An ultrametric space in which any separable ultrametric space can be isometrically imbedded is constructed. We describe the method for isometric imbedding of any separable ultrametric space into l 1,l 2 andc 0 based on the application of this universal space. |
| first_indexed | 2026-03-24T03:18:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5578 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:18:46Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/c8/263074c99c2b607f8379e6fe56549fc8.pdf |
| spelling | umjimathkievua-article-55782020-03-19T09:13:51Z On the universal ultrametric space Об универсальном ультраметрическом пространстве Vestfrid, I. A Вестфрид, А. An ultrametric space in which any separable ultrametric space can be isometrically imbedded is constructed. We describe the method for isometric imbedding of any separable ultrametric space into l 1,l 2 andc 0 based on the application of this universal space. Побудовано такий ультрамегричний простір, що будь-який сепарабельний ультраметричний простір ізометрично вкладається в нього. Показано, як за допомогою цього універсального прос тору можна ізометрично вкласти будь-який сепарабельний ультраметричний простір у $l_1,\, l_2$ і $c_0$. Institute of Mathematics, NAS of Ukraine 1994-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5578 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 12 (1994); 1700–1706 Український математичний журнал; Том 46 № 12 (1994); 1700–1706 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5578/7842 https://umj.imath.kiev.ua/index.php/umj/article/view/5578/7843 Copyright (c) 1994 Vestfrid I. A |
| spellingShingle | Vestfrid, I. A Вестфрид, А. On the universal ultrametric space |
| title | On the universal ultrametric space |
| title_alt | Об универсальном ультраметрическом пространстве |
| title_full | On the universal ultrametric space |
| title_fullStr | On the universal ultrametric space |
| title_full_unstemmed | On the universal ultrametric space |
| title_short | On the universal ultrametric space |
| title_sort | on the universal ultrametric space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5578 |
| work_keys_str_mv | AT vestfridia ontheuniversalultrametricspace AT vestfrida ontheuniversalultrametricspace AT vestfridia obuniversalʹnomulʹtrametričeskomprostranstve AT vestfrida obuniversalʹnomulʹtrametričeskomprostranstve |