Pseudodiscrete balleans
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Pseudodiscrete balleans
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| Creator |
Protasova, O.I.
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| Description |
A ballean B is a set X endowed with some family of subsets of X which are called the balls. The properties of the balls are postulated in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. A ballean is called pseudodiscrete if "almost all" balls of every pregiven radius are singletons. We give a filter characterization of pseudodiscrete balleans and their classification up to quasi-asymorphisms. It is proved that a ballean is pseudodiscrete if and only if every real function defined on its support is slowly oscillating. We show that the class of irresolvable balleans are tightly connected with the class of pseudodiscrete balleans. |
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| Date |
2019-06-20T03:12:48Z
2019-06-20T03:12:48Z 2006 |
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| Type |
Article
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| Identifier |
Pseudodiscrete balleans / O.I. Protasova // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 4. — С. 81–92. — Бібліогр.: 9 назв. — англ.
1726-3255 2000 Mathematics Subject Classification: 03E05, 03E75, 06A11, 54A05, 54E15.. http://dspace.nbuv.gov.ua/handle/123456789/157395 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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