Continuity in Partially Ordered Sets
The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/321761 |
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| _version_ | 1832558627511074816 |
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| author | Venu G. Menon |
| author_facet | Venu G. Menon |
| author_sort | Venu G. Menon |
| collection | DOAJ |
| description | The notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting. |
| format | Article |
| id | doaj-art-ebc704a9ff3e441083ed3fef3e90f22e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ebc704a9ff3e441083ed3fef3e90f22e2025-02-03T01:32:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/321761321761Continuity in Partially Ordered SetsVenu G. Menon0Department of Mathematics, University of Connecticut, Stamford, CT 06901, USAThe notion of a continuous domain is generalized to include posets which are not dcpos and in which the set of elements way below an element is not necessarily directed. We show that several of the pleasing algebraic and topological properties of domains carry over to this setting.http://dx.doi.org/10.1155/2008/321761 |
| spellingShingle | Venu G. Menon Continuity in Partially Ordered Sets International Journal of Mathematics and Mathematical Sciences |
| title | Continuity in Partially Ordered Sets |
| title_full | Continuity in Partially Ordered Sets |
| title_fullStr | Continuity in Partially Ordered Sets |
| title_full_unstemmed | Continuity in Partially Ordered Sets |
| title_short | Continuity in Partially Ordered Sets |
| title_sort | continuity in partially ordered sets |
| url | http://dx.doi.org/10.1155/2008/321761 |
| work_keys_str_mv | AT venugmenon continuityinpartiallyorderedsets |