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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Видавець:Lugansk National Taras Shevchenko University
Дата:2018
Автор: Oliynyk, Bogdana
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734
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Algebra and Discrete Mathematics
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record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
collection OJS
language English
topic Metric space
Wreath product
Isometry group
54E40
54B10
54H15
20E22
spellingShingle Metric space
Wreath product
Isometry group
54E40
54B10
54H15
20E22
Oliynyk, Bogdana
Infinitely iterated wreath products of metric spaces
topic_facet Metric space
Wreath product
Isometry group
54E40
54B10
54H15
20E22
format Article
author Oliynyk, Bogdana
author_facet Oliynyk, Bogdana
author_sort Oliynyk, Bogdana
title Infinitely iterated wreath products of metric spaces
title_short 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_sort infinitely iterated wreath products of metric spaces
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/734
work_keys_str_mv AT oliynykbogdana infinitelyiteratedwreathproductsofmetricspaces
first_indexed 2024-04-12T06:25:22Z
last_indexed 2024-04-12T06:25:22Z
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