Binary coronas of balleans
A ballean B is a set X endowed with some family
 of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that a ballean can be
 considered as an asymptotic counterpart of a uniform topological
 space. Using slow oscillating...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2003 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2003
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/155724 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Binary coronas of balleans / I.V. Protasov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 50–65. — Бібліогр.: 9 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862698603374444544 |
|---|---|
| author | Protasov, I.V. |
| author_facet | Protasov, I.V. |
| citation_txt | Binary coronas of balleans / I.V. Protasov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 50–65. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A ballean B is a set X endowed with some family
of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that a ballean can be
considered as an asymptotic counterpart of a uniform topological
space. Using slow oscillating functions from X to {0, 1}, we define
a zero-dimensional compact space which is called a binary corona
of B. We define a class of binary normal ballean and, for every ballean from this class, give an intrinsic characterization of its binary
corona. The class of binary normal balleans contains all balleans
of graph. We show that a ballean of graph is a projective limit of
some sequence of C˘ech-Stone compactifications of discrete spaces.
The obtained results witness that a binary corona of balleans can
be interpreted as a "generalized space of ends" of ballean.
|
| first_indexed | 2025-12-07T16:34:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155724 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| isbn | 2000 Mathematics Subject Classification: 05C25, 20F65, 54A05, 54E15. |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:34:02Z |
| publishDate | 2003 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I.V. 2019-06-17T11:17:31Z 2019-06-17T11:17:31Z 2003 Binary coronas of balleans / I.V. Protasov // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 4. — С. 50–65. — Бібліогр.: 9 назв. — англ. 2000 Mathematics Subject Classification: 05C25, 20F65, 54A05, 54E15. 1726-3255 https://nasplib.isofts.kiev.ua/handle/123456789/155724 A ballean B is a set X endowed with some family
 of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that a ballean can be
 considered as an asymptotic counterpart of a uniform topological
 space. Using slow oscillating functions from X to {0, 1}, we define
 a zero-dimensional compact space which is called a binary corona
 of B. We define a class of binary normal ballean and, for every ballean from this class, give an intrinsic characterization of its binary
 corona. The class of binary normal balleans contains all balleans
 of graph. We show that a ballean of graph is a projective limit of
 some sequence of C˘ech-Stone compactifications of discrete spaces.
 The obtained results witness that a binary corona of balleans can
 be interpreted as a "generalized space of ends" of ballean. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Binary coronas of balleans Article published earlier |
| spellingShingle | Binary coronas of balleans Protasov, I.V. |
| title | Binary coronas of balleans |
| title_full | Binary coronas of balleans |
| title_fullStr | Binary coronas of balleans |
| title_full_unstemmed | Binary coronas of balleans |
| title_short | Binary coronas of balleans |
| title_sort | binary coronas of balleans |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155724 |
| work_keys_str_mv | AT protasoviv binarycoronasofballeans |