[1]赵娜,贺伟.连续预序集(英文)[J].南京师范大学学报(自然科学版),2009,32(01):16-21.
 Zhao Na,He Wei.Continuous Pre-ordered Sets[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(01):16-21.
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连续预序集(英文)()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年01期
页码:
16-21
栏目:
数学
出版日期:
2009-03-30

文章信息/Info

Title:
Continuous Pre-ordered Sets
作者:
赵娜;贺伟;
南京师范大学数学与计算机科学学院, 江苏南京210097
Author(s):
Zhao NaHe Wei
School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China
关键词:
连续预序集 Scott连续函数 小范畴
Keywords:
continuous pre-orde red sets Sco tt continuous func tions sm a ll category
分类号:
O153.1
摘要:
介绍了连续预序集的概念及其基本性质,得到以连续偏序集为对象,Scott连续函数为态射的范畴CPOSET是以连续预序集为对象,Scott连续函数为态射的范畴CPRSET的反射子范畴.
Abstract:
The concept of continuous pre-orde red sets and its bas ic properties a re introduced. It is show ed that the category CPOSET of continuous posets and Sco tt continuous func tions is a re flective subcategory of the catego ry CPRSET o f continuous pre-o rdered sets and Scott con tinuous functions

参考文献/References:

[ 1] G ierz G, H ofm ann K H, Ke im e lK, et a .l A Com pend ium o f Continuous Lattices[M ] . New Yo rk: Spr ing er-Ve rlag, 1980.
[ 2] E lias Dav id. Sco tt space and sober spaces[ J] . Topo logy and Its App lications, 2000, 100( 2): 93-101.
[ 3] H eW e.i Category Theory[M ] . B eijing: Sc ience Press, 2006.
[ 4] Jiri Adam ek, H o rst H errlich, Georg e E Strecker. Abstrac t and Concrete Catrgor ies[M ] . N ew York: A W iley- Inte rscience
Pub lication, 1990.

备注/Memo

备注/Memo:
Foundation item: Supported by the N at iona lNatu ral Science Foundation of China( 10731050) .
Corresponding author: Zhao Na, m aster, m ajored in topology. E-m ail:nuonuo19820915@ yahoo. com. cn
更新日期/Last Update: 2013-04-23