A topological property of β(N)
In this paper we prove that the Stone-Cech-compactification of the natural numbers does not admit a countable infinite decomposition into subsets homeomorphic to each other and to the said compactification.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000518 |
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| _version_ | 1832562860605046784 |
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| author | Anastase Nakassis |
| author_facet | Anastase Nakassis |
| author_sort | Anastase Nakassis |
| collection | DOAJ |
| description | In this paper we prove that the Stone-Cech-compactification of the natural numbers does not admit a countable infinite decomposition into subsets homeomorphic to each other and to the said compactification. |
| format | Article |
| id | doaj-art-254b4f737521475da56b41ba5dc0b249 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-254b4f737521475da56b41ba5dc0b2492025-02-03T01:21:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013471371710.1155/S0161171280000518A topological property of β(N)Anastase Nakassis0United States Geological Survey, Reston 22070, Virginia, USAIn this paper we prove that the Stone-Cech-compactification of the natural numbers does not admit a countable infinite decomposition into subsets homeomorphic to each other and to the said compactification.http://dx.doi.org/10.1155/S0161171280000518Stone-Cech-compactification. |
| spellingShingle | Anastase Nakassis A topological property of β(N) International Journal of Mathematics and Mathematical Sciences Stone-Cech-compactification. |
| title | A topological property of β(N) |
| title_full | A topological property of β(N) |
| title_fullStr | A topological property of β(N) |
| title_full_unstemmed | A topological property of β(N) |
| title_short | A topological property of β(N) |
| title_sort | topological property of β n |
| topic | Stone-Cech-compactification. |
| url | http://dx.doi.org/10.1155/S0161171280000518 |
| work_keys_str_mv | AT anastasenakassis atopologicalpropertyofbn AT anastasenakassis topologicalpropertyofbn |