|Table of Contents|

Continuous Categories(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2008年03期
Page:
12-15
Research Field:
数学
Publishing date:

Info

Title:
Continuous Categories
Author(s):
Lu Tao1; 2; Wang Xijuan1; 3; He 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)
Keywords:
category;  coproduc t;  continuous
PACS:
O154.1
DOI:
-
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

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

Memo

Memo:
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Last Update: 2013-05-05