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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153338 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Subpower Higson corona of a metric space / Ja. Kucab, M. Zarichnyi // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 280–287. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862619673657344000 |
|---|---|
| author | Kucab, Ja. Zarichnyi, M. |
| author_facet | Kucab, Ja. Zarichnyi, M. |
| citation_txt | Subpower Higson corona of a metric space / Ja. Kucab, M. Zarichnyi // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 280–287. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T13:19:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153338 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:19:39Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kucab, Ja. Zarichnyi, M. 2019-06-14T03:23:45Z 2019-06-14T03:23:45Z 2014 Subpower Higson corona of a metric space / Ja. Kucab, M. Zarichnyi // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 2. — С. 280–287. — Бібліогр.: 9 назв. — англ. 1726-3255 2010 MSC:46J10, 54D35. https://nasplib.isofts.kiev.ua/handle/123456789/153338 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Subpower Higson corona of a metric space Article published earlier |
| spellingShingle | Subpower Higson corona of a metric space Kucab, Ja. Zarichnyi, M. |
| title | 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_short | Subpower Higson corona of a metric space |
| title_sort | subpower higson corona of a metric space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153338 |
| work_keys_str_mv | AT kucabja subpowerhigsoncoronaofametricspace AT zarichnyim subpowerhigsoncoronaofametricspace |