Compactness, perfectness, separation, minimality and closedness with respect to closure operators

被引：25

作者：

Baran, M ^{[1
]}

机构：

[1] Erciyes Univ, Dept Math, TR-38039 Kayseri, Turkey

来源：

APPLIED CATEGORICAL STRUCTURES | 2002年 / 10卷 / 04期

关键词：

closure operator; topological category; convergence spaces; limit spaces; compact objects; perfect morphism;

D O I：

10.1023/A:1016388102703

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the characterization of closed and strongly closed subobjects of an object in categories of various types of filter convergence spaces is given and it is shown that they induce a notion of closure. Furthermore, each of the notions of compactness, perfectness, separation, minimality and absolute closedness with respect to these two new closure operators are characterized in these categories and some known results are re-obtained.

引用

页码：403 / 415

页数：13