Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices
We prove some new characterizations of strongly continuous lattices using two new intrinsic topologies and a class of convergences. Lastly we show that the category of strongly continuous lattices and Scott continuous mappings is cartesian closed.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/942628 |
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| _version_ | 1832562288686530560 |
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| author | Xiuhua Wu Qingguo Li Dongsheng Zhao |
| author_facet | Xiuhua Wu Qingguo Li Dongsheng Zhao |
| author_sort | Xiuhua Wu |
| collection | DOAJ |
| description | We prove some new characterizations of strongly continuous lattices using two new intrinsic topologies and a class of convergences. Lastly we show that the category of strongly continuous lattices and Scott continuous mappings is cartesian closed. |
| format | Article |
| id | doaj-art-d1f36e4e4b1943cfa38e80c14ad687e5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d1f36e4e4b1943cfa38e80c14ad687e52025-02-03T01:23:06ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/942628942628Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous LatticesXiuhua Wu0Qingguo Li1Dongsheng Zhao2Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha 410004, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaMathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1 Nanyang Walt, 637616, SingaporeWe prove some new characterizations of strongly continuous lattices using two new intrinsic topologies and a class of convergences. Lastly we show that the category of strongly continuous lattices and Scott continuous mappings is cartesian closed.http://dx.doi.org/10.1155/2013/942628 |
| spellingShingle | Xiuhua Wu Qingguo Li Dongsheng Zhao Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices Abstract and Applied Analysis |
| title | Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices |
| title_full | Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices |
| title_fullStr | Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices |
| title_full_unstemmed | Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices |
| title_short | Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices |
| title_sort | some new intrinsic topologies on complete lattices and the cartesian closedness of the category of strongly continuous lattices |
| url | http://dx.doi.org/10.1155/2013/942628 |
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