| 代数的局部完备集范畴和FS-局部dcpo范畴的笛卡儿闭性 |
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| 引用本文： | 徐爱军,王戈平.代数的局部完备集范畴和FS-局部dcpo范畴的笛卡儿闭性[J].数学进展,2006,35(4):485-492. |
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| 作者姓名： | 徐爱军 王戈平 |
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| 作者单位： | 徐州师范大学数学系,徐州,江苏,221116 |
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| 基金项目： | 国家自然科学基金(No．10371079)． |
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| 摘 要： | 本文引入了代数的局部完备集,FS-局部dcpo,局部稳定映射等概念．主要结果是：以局部Scott连续映射为态射的代数的局部完备集范畴,以局部稳定映射为态射的代数的局部完备集范畴以及以局部Scott连续映射为态射的FS-局部dcpo范畴都是笛卡儿闭范畴．
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| 关 键 词： | 局部完备集 FS-局部dcpo 局部稳定映射 笛卡儿闭范畴 |
| 文章编号： | 1000-0917（2006）04-0485-08 |
| 收稿时间： | 2004-10-15 |
| 修稿时间： | 2005-04-04 |
Cartesian Closeness of the Categories of Algbraic Local Complete Posets and Posets FS-Local Directed Complete Posets |
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| XU Ai-jun,WANG Ge-ping.Cartesian Closeness of the Categories of Algbraic Local Complete Posets and Posets FS-Local Directed Complete Posets[J].Advances in Mathematics,2006,35(4):485-492. |
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| Authors: | XU Ai-jun WANG Ge-ping |
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| Institution: | Department of Mathematics, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, P. R. China |
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| Abstract: | We introduce the concepts of algebraic local complete poset,FS-local directed complete poset and local stable funtion.We prove that having continuous functions as morphisms the category of algbraic local complete posets,stable functions as morphisms the category of algbraic local complete posets and continuous functions as morphisms the category of FS-local directed complete posets are Cartesian closed. |
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| Keywords: | local complete poset FS-local directed complete poset local stable function Cartesian closed category |
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