The Smirnov compactification as a quotient space of the Stone-Čech compactification
For a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000596 |
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| _version_ | 1832563556379262976 |
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| author | T. B. M. McMaster |
| author_facet | T. B. M. McMaster |
| author_sort | T. B. M. McMaster |
| collection | DOAJ |
| description | For a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities. |
| format | Article |
| id | doaj-art-55562ae1ecb64b61aea0f1144d404c8e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-55562ae1ecb64b61aea0f1144d404c8e2025-02-03T01:13:10ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111350350610.1155/S0161171288000596The Smirnov compactification as a quotient space of the Stone-Čech compactificationT. B. M. McMaster0Pure Mathematics Department, Queen' s University, Belfast BT7 1NN, IrelandFor a separated proximity space, a decomposition of the Stone-Čech compactification is presented which produces the Smirnov compactification and its basic properties by elementary arguments without recourse to clusters or totally bounded uniformities.http://dx.doi.org/10.1155/S0161171288000596proximity spacecompactificationquotient space. |
| spellingShingle | T. B. M. McMaster The Smirnov compactification as a quotient space of the Stone-Čech compactification International Journal of Mathematics and Mathematical Sciences proximity space compactification quotient space. |
| title | The Smirnov compactification as a quotient space of the Stone-Čech compactification |
| title_full | The Smirnov compactification as a quotient space of the Stone-Čech compactification |
| title_fullStr | The Smirnov compactification as a quotient space of the Stone-Čech compactification |
| title_full_unstemmed | The Smirnov compactification as a quotient space of the Stone-Čech compactification |
| title_short | The Smirnov compactification as a quotient space of the Stone-Čech compactification |
| title_sort | smirnov compactification as a quotient space of the stone cech compactification |
| topic | proximity space compactification quotient space. |
| url | http://dx.doi.org/10.1155/S0161171288000596 |
| work_keys_str_mv | AT tbmmcmaster thesmirnovcompactificationasaquotientspaceofthestonecechcompactification AT tbmmcmaster smirnovcompactificationasaquotientspaceofthestonecechcompactification |