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GENERALIZATIONS AND CARTESIAN CLOSED SUBCATEGORIES OF SEMICONTINUOUS LATTICES |
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| Authors: | Li Qingguo Wu Xiuhua |
| Institution: | bCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, China |
| Abstract: | In this article, the authors mainly study how to obtain new semicontinuous lattices from the given semicontinuous lattices and discuss the conditions under which the image of a semicontinuous projection operator is also semicontinuous. Moreover, the authors investigate the relation between semicontinuous lattices and completely distributive lattices. Finally, it is proved that the strongly semicontinuous lattice category is a Cartesian closed category. |
| Keywords: | semicontinuous lattices strongly semicontinuous lattices semicontinuous mapping hereditary function space Cartesian closed category2000 MR Subject Classification: 06A15 06B35 06D10 18D15 |
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