| 一类Domain范畴及其笛卡儿闭子范畴 |
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| 引用本文： | 张奇业,樊磊,郑崇友.一类Domain范畴及其笛卡儿闭子范畴[J].数学学报,2001,44(5):823-828. |
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| 作者姓名： | 张奇业 樊磊 郑崇友 |
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| 作者单位： | 首都师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(19971059) |
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| 摘 要： | 本文给出一类新的 Ｄｏｍａｉｎ范畴 ＡｌｇＤ■（即以代数 Ｄｏｍａｉｎ为对象，保逼近序的Ｓｃｏｔｔ连续函数为态射的范畴）及其满子范畴ＡｌｇＤ■（即以有底（最小元）的代数Ｄｏｍａｉｎ为对象，保逼近序的Ｓｃｏｔｔ连续函数为态射的范畴），并且讨论它们的极大的笛卡儿闭的满子范畴．
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| 关 键 词： | Domain 范畴 逼近序 拓扑 |
| 文章编号： | 0583-1431(2001)05-0823-06 |
| 修稿时间： | 1998年11月5日 |
A Kind of Category for Domains and Its Maximal Cartesian Closed Subcategories |
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| ZHANG Qi Ye,FAN Lei,ZHENG Chong You.A Kind of Category for Domains and Its Maximal Cartesian Closed Subcategories[J].Acta Mathematica Sinica,2001,44(5):823-828. |
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| Authors: | ZHANG Qi Ye FAN Lei ZHENG Chong You |
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| Institution: | ZHANG Qi Ye, FAN Lei, ZHENG Chong You (Department of Mathematics, Capital Normal University, Beijing 100037, P. R. China) |
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| Abstract: | In this paper, we constructed a new category of domains-the category AlgD of algebraic domains and Scott continuous functions of approximation-order- preserving (or way-below-relation-preserving); and its full subcategory AlgD, the category of pointed algebraic domains and Scott continuous functions of approximation- order-preserving. We showed that these categories are not Cartesian closed in general, and then determined the maximal Cartesian closed full subcategories of these cate-gories. |
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| Keywords: | Domain Category Approximation-order Topology |
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