Subpower Higson corona of a metric space
We define a subpower Higson corona of a metric space. This corona turns out to be an intermediate corona between the Higson corona and sublinear Higson corona. It is proved that the subpower compactification of an unbounded proper metric space contains a topological copy of the Stone-Cech compactifi...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1036 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-10362018-04-26T02:11:00Z Subpower Higson corona of a metric space Kucab, Jacek Zarichnyi, Mykhailo 46J10, 54D35 We define a subpower Higson corona of a metric space. This corona turns out to be an intermediate corona between the Higson corona and sublinear Higson corona. It is proved that the subpower compactification of an unbounded proper metric space contains a topological copy of the Stone-Cech compactification of a countable discrete space. We also provide an example of a map between geodesic spaces that is not asymptotically Lipschitz but that generates a continuous map of the corresponding subpower Higson coronas. 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/1036 Algebra and Discrete Mathematics; Vol 17, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1036/559 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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OJS |
| language |
English |
| topic |
46J10 54D35 |
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46J10 54D35 Kucab, Jacek Zarichnyi, Mykhailo Subpower Higson corona of a metric space |
| topic_facet |
46J10 54D35 |
| format |
Article |
| author |
Kucab, Jacek Zarichnyi, Mykhailo |
| author_facet |
Kucab, Jacek Zarichnyi, Mykhailo |
| author_sort |
Kucab, Jacek |
| title |
Subpower Higson corona of a metric space |
| title_short |
Subpower Higson corona of a metric space |
| title_full |
Subpower Higson corona of a metric space |
| title_fullStr |
Subpower Higson corona of a metric space |
| title_full_unstemmed |
Subpower Higson corona of a metric space |
| title_sort |
subpower higson corona of a metric space |
| description |
We define a subpower Higson corona of a metric space. This corona turns out to be an intermediate corona between the Higson corona and sublinear Higson corona. It is proved that the subpower compactification of an unbounded proper metric space contains a topological copy of the Stone-Cech compactification of a countable discrete space. We also provide an example of a map between geodesic spaces that is not asymptotically Lipschitz but that generates a continuous map of the corresponding subpower Higson coronas. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1036 |
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AT kucabjacek subpowerhigsoncoronaofametricspace AT zarichnyimykhailo subpowerhigsoncoronaofametricspace |
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2024-04-12T06:27:34Z |
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2024-04-12T06:27:34Z |
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1796109243671117824 |