Balleans of topological groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Balleans of topological groups
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| Creator |
Hernández, S.
Protasov, I.V. |
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| Description |
A subset S of a topological group G is called bounded if, for every neighborhood U of the identity of G, there exists a finite subset F such that S ⊆ FU, S ⊆ UF. The family of all bounded subsets of G determines two structures on G, namely the left and right balleans Bl(G) and Br(G) , which are counterparts of the left and right uniformities of G. We study the relationships between the uniform and ballean structures on G, describe all topological groups admitting a metric compatible both with uniform and ballean structures, and construct a group analogue of Higson’s compactification of a proper metric space.
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| Date |
2017-09-25T18:30:40Z
2017-09-25T18:30:40Z 2011 |
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| Type |
Article
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| Identifier |
Balleans of topological groups / S. Hernández, I. V. Protasov // Український математичний вісник. — 2011. — Т. 8, № 1. — С. 87-100. — Бібліогр.: 13 назв. — англ.
1810-3200 2010 MSC. 22A05, 22A10, 54E15, 54A25, 54D35. http://dspace.nbuv.gov.ua/handle/123456789/124412 |
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| Language |
en
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| Relation |
Український математичний вісник
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| Publisher |
Інститут прикладної математики і механіки НАН України
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