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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| Datum: | 2018 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543038794366976 |
|---|---|
| author | Oliynyk, Bogdana |
| author_facet | Oliynyk, Bogdana |
| author_sort | Oliynyk, Bogdana |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T00:47:27Z |
| 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 | 2025-12-02T15:40:48Z |
| format | Article |
| id | admjournalluguniveduua-article-734 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:40:48Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7342018-04-26T00:47:27Z Infinitely iterated wreath products of metric spaces Oliynyk, Bogdana Metric space, Wreath product, Isometry group 54E40, 54B10, 54H15, 20E22 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734 Algebra and Discrete Mathematics; Vol 15, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734/265 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Metric space Wreath product Isometry group 54E40 54B10 54H15 20E22 Oliynyk, Bogdana Infinitely iterated wreath products of metric spaces |
| 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 |
| topic | Metric space Wreath product Isometry group 54E40 54B10 54H15 20E22 |
| topic_facet | Metric space Wreath product Isometry group 54E40 54B10 54H15 20E22 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734 |
| work_keys_str_mv | AT oliynykbogdana infinitelyiteratedwreathproductsofmetricspaces |