Compactness in categories of S-net spaces

被引：0
作者：
Slapal, J [1 ]
机构：
[1] Tech Univ Brno, Dept Math, Brno 61669, Czech Republic
来源：
APPLIED CATEGORICAL STRUCTURES | 1998年 / 6卷 / 04期
关键词：
convergence S-net space; limit S-net space; compact S-net space; rectangular S-net space; Cartesian closed category;
D O I：
10.1023/A:1008618211222
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The S-net spaces studied are convergence structures whose convergences are expressed by using generalized nets, the so called S-nets, which are obtained from the usual nets by replacing the category of directed sets and cofinal maps with an arbitrary construct S. We investigate compactness in categories of S-net spaces defined by introducing continuous maps in a natural way and imposing some usual convergence axioms.
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收藏
页码：515 / 525
页数：11
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