Separation axioms for partially ordered convergence spaces
In partially ordered convergence spaces, separation axioms are introduced and then related to the concept of complete separatedness due to Nachbin as well as to connectedness concepts. A method to generate new separation axioms is studied.
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000727 |
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| _version_ | 1832556434219335680 |
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| author | Reino Vainio |
| author_facet | Reino Vainio |
| author_sort | Reino Vainio |
| collection | DOAJ |
| description | In partially ordered convergence spaces, separation axioms are introduced and then related to the concept of complete separatedness due to Nachbin as well as to connectedness concepts. A method to generate new separation axioms is studied. |
| format | Article |
| id | doaj-art-a1ecedd6470145ed87782cf5bee5fce7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a1ecedd6470145ed87782cf5bee5fce72025-02-03T05:45:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017469770510.1155/S0161171284000727Separation axioms for partially ordered convergence spacesReino Vainio0Department of Mathematics, Abo Akademi, Abo 50 SF–205000, FinlandIn partially ordered convergence spaces, separation axioms are introduced and then related to the concept of complete separatedness due to Nachbin as well as to connectedness concepts. A method to generate new separation axioms is studied.http://dx.doi.org/10.1155/S0161171284000727convergence spacepartial orderseparation axiomsconnectivityinterval topology. |
| spellingShingle | Reino Vainio Separation axioms for partially ordered convergence spaces International Journal of Mathematics and Mathematical Sciences convergence space partial order separation axioms connectivity interval topology. |
| title | Separation axioms for partially ordered convergence spaces |
| title_full | Separation axioms for partially ordered convergence spaces |
| title_fullStr | Separation axioms for partially ordered convergence spaces |
| title_full_unstemmed | Separation axioms for partially ordered convergence spaces |
| title_short | Separation axioms for partially ordered convergence spaces |
| title_sort | separation axioms for partially ordered convergence spaces |
| topic | convergence space partial order separation axioms connectivity interval topology. |
| url | http://dx.doi.org/10.1155/S0161171284000727 |
| work_keys_str_mv | AT reinovainio separationaxiomsforpartiallyorderedconvergencespaces |