Cartesian closedness of categories of completely distributive lattices |
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| Authors: | Dexue Zhang Zhongqiang Yang |
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| Affiliation: | ZHANG Dexue 1 and YANG Zhongqiang 2 1. Department of Mathematics, Sichuan University, Chengdu 610064, China; 2. Department of Mathematics, Shaanxi Normal University, Xi'an 710062, China |
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| Abstract: | The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category of completely distributive lattices with nonempty union preserving mappings is cartesian closed. |
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| Keywords: | completely distributive lattice continuous lattice cartesian closedness. |
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