Abstract and Applied Analysis

Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices

Xiuhua Wu, Qingguo Li, and Dongsheng Zhao

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 942628, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511769

Digital Object Identifier
doi:10.1155/2013/942628

Mathematical Reviews number (MathSciNet)
MR3035270

Zentralblatt MATH identifier
1288.06014

Citation

Wu, Xiuhua; Li, Qingguo; Zhao, Dongsheng. Some New Intrinsic Topologies on Complete Lattices and the Cartesian Closedness of the Category of Strongly Continuous Lattices. Abstr. Appl. Anal. 2013 (2013), Article ID 942628, 8 pages. doi:10.1155/2013/942628. https://projecteuclid.org/euclid.aaa/1393511769


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