[1]范丽红,贺伟.关于连续偏序集的注记(英文)[J].南京师范大学学报(自然科学版),2008,31(01):21-25.
 Fan Lihong,He Wei.Some Notes on Continuous Posets[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(01):21-25.
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关于连续偏序集的注记(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31卷
期数:
2008年01期
页码:
21-25
栏目:
数学
出版日期:
2008-03-30

文章信息/Info

Title:
Some Notes on Continuous Posets
作者:
范丽红;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):
Fan Lihong He Wei
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
关键词:
连续偏序集 Cartesian积 代数偏序集
Keywords:
continuous pose t Cartesian product a lgebra ic pose t
分类号:
O153.1
摘要:
研究了domain的推广——连续偏序集的Cartesian积以及连续偏序集和代数偏序集的一些性质.给出了连续偏序集的若干等价刻画.
Abstract:
In this pape r, w e investigate the o rder structure-continuous poset, a generalization o f a continuous dcpo ( .i e. , dom a in). The Cartes ian product o f continuous posets is stud ied. Some other properties o f continuous posets and algebraic posets a re g iv en. Som e equ iva lent cha racte rization o f continuous po sets is g iven

参考文献/References:

[ 1] Scott D S. Continuous Lattices[M ] / / Lecture Notes inM athem atics. Berlin: Spr inger-Ve rlag, 1972, 274: 97-136.
[ 2] G ierz G, H o ffm ann K H, Ke im e l K, et a .l Continuous Lattices and Dom a ins[M ] . Cambr idg e: Cambr idg e Un iv Press, 2003.
[ 3] H rbacek K. Continuous com pletions[ J]. A lgebra Un iversa lis, 1991, 28( 2): 230-244.
[ 4] G ierz G, H offm ann K H, Keim e lK, e t a.l A Com pendium o f Continuous Lattices[M ]. Ber lin: Springer-Verlag, 1980.

备注/Memo

备注/Memo:
Biography: Fan L ihong, fem ale, born in 1979, doctoral candidate, m ajored in topology on latt ices. E - m ail: l ihongfan2003@ yahoo. com. cn
Corresponding autho r: H eW ei, born in 1964, professor, m ajored in topology. E-m ail: w eihe@ n jnu. edu. cn
更新日期/Last Update: 2013-05-05