| The Cartesian Closedness of the Category CDL and Function Spaces on Topological CDL's |
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| 作者单位： | Department of Mathematics，Shaanxi Normal University Xi'an 710062 |
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| 摘 要： | ＴｈｅＣａｒｔｅｓｉａｎＣｌｏｓｅｄｎｅｓｓｏｆｔｈｅＣａｔｅｇｏｒｙＣＤＬａｎｄＦｕｎｃｔｉｏｎＳｐａｃｅｓｏｎＴｏｐｏｌｏｇｉｃａｌＣＤＬ＇ｓＹａｎｇＺｈｏｎｇｑｉａｎｇ（杨忠强）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａａｎｘｉＮ...
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The Cartesian Closedness of the Category CDL and Function Spaces on Topological CDL's |
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| Authors: | Yang Zhongqiang |
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| Abstract: | In this paper we prove the cartesian closedness of the category CDL consisting of all completely distributive lattices and all generalized order homomorphisims Moreover, in the exponent of the category we set up a Pointwise convergence topology and a quasi-uniform convergence topology. |
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| Keywords: | Completely Distributive Lattice Generalized Order Homomorphism Cartesian Closedness Pointwise Convergence Topology Quasi-uniform Convergence Topology |
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