Hyperbolic spaces from self-similar group actions
We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space.
Збережено в:
| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543175711129600 |
|---|---|
| author | Nekrashevych, Volodymyr |
| author_facet | Nekrashevych, Volodymyr |
| author_sort | Nekrashevych, Volodymyr |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-13T06:43:21Z |
| description | We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space. |
| first_indexed | 2026-02-08T07:58:13Z |
| format | Article |
| id | admjournalluguniveduua-article-954 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:13Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-9542018-05-13T06:43:21Z Hyperbolic spaces from self-similar group actions Nekrashevych, Volodymyr self-similar group actions, limit space, Gromov hyperbolic spaces, boundary of a hyperbolic space 37B05, 37D99 We show that the limit space of a contracting selfsimilar group action is the boundary of a naturally defined Gromov hyperbolic space. Lugansk National Taras Shevchenko University 2018-05-13 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954 Algebra and Discrete Mathematics; Vol 2, No 1 (2003) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954/483 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | self-similar group actions limit space Gromov hyperbolic spaces boundary of a hyperbolic space 37B05 37D99 Nekrashevych, Volodymyr Hyperbolic spaces from self-similar group actions |
| title | Hyperbolic spaces from self-similar group actions |
| title_full | Hyperbolic spaces from self-similar group actions |
| title_fullStr | Hyperbolic spaces from self-similar group actions |
| title_full_unstemmed | Hyperbolic spaces from self-similar group actions |
| title_short | Hyperbolic spaces from self-similar group actions |
| title_sort | hyperbolic spaces from self-similar group actions |
| topic | self-similar group actions limit space Gromov hyperbolic spaces boundary of a hyperbolic space 37B05 37D99 |
| topic_facet | self-similar group actions limit space Gromov hyperbolic spaces boundary of a hyperbolic space 37B05 37D99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/954 |
| work_keys_str_mv | AT nekrashevychvolodymyr hyperbolicspacesfromselfsimilargroupactions |