Transitivity in uniform approach theory
We introduce a notion of transitivity for approach uniformities and approach uniform convergence spaces, yielding reflective subconstructs of AUnif and AUCS. Further, we investigate how these new categories are related to uACHY, uACHY U , and uMET, and we show that these relationships are similar t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202202355 |
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| _version_ | 1832568235797512192 |
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| author | Y. J. Lee B. Windels |
| author_facet | Y. J. Lee B. Windels |
| author_sort | Y. J. Lee |
| collection | DOAJ |
| description | We introduce a notion of transitivity for approach uniformities and approach uniform convergence spaces, yielding reflective subconstructs of AUnif
and AUCS. Further, we investigate how these new categories are related to uACHY, uACHY U , and uMET, and we show that these relationships are similar to those in the classical case. |
| format | Article |
| id | doaj-art-a7a41a1e69374cee8df9cf65db1e7019 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a7a41a1e69374cee8df9cf65db1e70192025-02-03T00:59:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01321270772010.1155/S0161171202202355Transitivity in uniform approach theoryY. J. Lee0B. Windels1Department of Mathematics, Yonsei University, Seoul 120-749, KoreaDepartment of Mathematics and Computer Science, RUCA, University of Antwerp, Groenenborgerlaan 171, Antwerp 2020, BelgiumWe introduce a notion of transitivity for approach uniformities and approach uniform convergence spaces, yielding reflective subconstructs of AUnif and AUCS. Further, we investigate how these new categories are related to uACHY, uACHY U , and uMET, and we show that these relationships are similar to those in the classical case.http://dx.doi.org/10.1155/S0161171202202355 |
| spellingShingle | Y. J. Lee B. Windels Transitivity in uniform approach theory International Journal of Mathematics and Mathematical Sciences |
| title | Transitivity in uniform approach theory |
| title_full | Transitivity in uniform approach theory |
| title_fullStr | Transitivity in uniform approach theory |
| title_full_unstemmed | Transitivity in uniform approach theory |
| title_short | Transitivity in uniform approach theory |
| title_sort | transitivity in uniform approach theory |
| url | http://dx.doi.org/10.1155/S0161171202202355 |
| work_keys_str_mv | AT yjlee transitivityinuniformapproachtheory AT bwindels transitivityinuniformapproachtheory |