REMARKS ON PRODUCTS OF GENERALIZED TOPOLOGIES

被引：16
|
作者：
Shen, R. [1 ,2 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
[2] Taizhou Teachers Coll, Dept Math, Taizhou 225300, Peoples R China
来源：
ACTA MATHEMATICA HUNGARICA | 2009年 / 124卷 / 04期
关键词：
generalized topology; product; connectedness; compactness; OPEN SETS;
D O I：
10.1007/s10474-009-8207-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relationship between the product and other basic operations (namely sigma, pi, alpha and beta) of generalized topologies. Also we discuss the connectedness, generalized connectedness and compactness of products of generalized topologies. It is proved that the connectedness and compactness are preserved under the product of generalized topologies, which shows that the definition of product of generalized topologies is quite reasonable.
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页码：363 / 369
页数：7
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