Infinitely iterated wreath products of metric spaces
The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2013 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152263 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Infinitely iterated wreath products of metric spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 48–62. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551736568250368 |
|---|---|
| author | Oliynyk, B. |
| author_facet | Oliynyk, B. |
| citation_txt | Infinitely iterated wreath products of metric spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 48–62. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered.
|
| first_indexed | 2025-11-25T20:56:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152263 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T20:56:19Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Oliynyk, B. 2019-06-09T13:44:27Z 2019-06-09T13:44:27Z 2013 Infinitely iterated wreath products of metric spaces / B. Oliynyk // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 48–62. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC:54E40, 54B10, 54H15, 20E22. https://nasplib.isofts.kiev.ua/handle/123456789/152263 The construction of the finitary wreath product of metric spaces and its completion, the infinitely iterated wreath product of metric spaces are introduced. They full isometry groups are described. Some properties and examples of these constructions are considered. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Infinitely iterated wreath products of metric spaces Article published earlier |
| spellingShingle | Infinitely iterated wreath products of metric spaces Oliynyk, B. |
| title | Infinitely iterated wreath products of metric spaces |
| title_full | Infinitely iterated wreath products of metric spaces |
| title_fullStr | Infinitely iterated wreath products of metric spaces |
| title_full_unstemmed | Infinitely iterated wreath products of metric spaces |
| title_short | Infinitely iterated wreath products of metric spaces |
| title_sort | infinitely iterated wreath products of metric spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152263 |
| work_keys_str_mv | AT oliynykb infinitelyiteratedwreathproductsofmetricspaces |