[1]卢 涛,等.连续范畴[J].南京师范大学学报(自然科学版),2008,31(03):12-15.
 Lu Tao,Wang Xijuan,He Wei.Continuous Categories[J].Journal of Nanjing Normal University(Natural Science Edition),2008,31(03):12-15.
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连续范畴()
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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03期
页码:
12-15
栏目:
数学
出版日期:
2008-09-30

文章信息/Info

Title:
Continuous Categories
作者:
卢 涛1 2 王习娟1 3 贺 伟1
( 1. 南京师范大学数学与计算机科学学院, 江苏南京210097)
( 2. 江南大学理学院, 江苏无锡214063 )
( 3. 连云港师范高等专科学校, 江苏连云港222006)
Author(s):
Lu Tao12Wang Xijuan13He Wei1
( 1. S chool ofM athem atics and C ompu ter Science, N an jing Norm alUn iversity, Nan jing 210097, Ch ina)
( 2. School of Science, Jiangnan Un ivers ity, W uxi 214063, C h ina)
( 3. L ianyungang Teacher. s C ollege, Lianyungang 222006, Ch in a)
关键词:
范畴 余积 连续
Keywords:
category coproduc t continuous
分类号:
O154.1
摘要:
将定向完备偏序集上的way-below关系推广到任意小范畴上,从而在任意小范畴上引入了连续性.并进一步讨论了连续范畴的性质,证明了连续范畴有许多类似于连续偏序集的好的性质.
Abstract:
The way-below re lation on dcpos w as genera lized to arb itrary sm a ll ca tegor ies and the concept o f continuous ca tego ry was introduced. Then the prope rties o f continuous catego riew ere d iscussed. Itw as proved that continuous categor ies had some good properties analogous to con tinuous posets

参考文献/References:

[ 1] G ierz G, H ofm ann K H. Continuous La ttice and Dom a ins[M ]. Cam bridge: Cam bridge University Press, 2003.
[ 2] 徐罗山. 偏序集的主理想连续性和闭区间连续性[ J] . 扬州大学学报: 自然科学版, 1999, 2( 4) : 1-5.
[ 3] 贺伟. 范畴论[M ]. 北京: 科学出版社, 2006.
[ 4] M ac Lane S. Categor ies forW ork ingM athem atician[M ]. Berlin-H e ide lberg-New Yo rk: Spr inger, 1972.
[ 5] Adam ek J, H erelich H, StreckerG E. Abstrac t and Concrete Categor ies[M ]. N ew York: W iley- Intersc ience, 1990

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10731050)资助项目.
通讯联系人: 卢 涛, 博士, 研究方向: 拓扑学. E-m ail: lutao7@ live. com
更新日期/Last Update: 2013-05-05