A Urysohn lemma for regular spaces

被引：0
|
作者：
Gupta, A. N. K. I. T. [1 ]
Sarma, Ratna Dev [2 ]
机构：
[1] Univ Delhi, Bharati Coll, Dept Math, Delhi 110058, India
[2] Univ Delhi, Rajdhani Coll, Dept Math, Delhi 110015, India
来源：
APPLIED GENERAL TOPOLOGY | 2022年 / 23卷 / 02期
关键词：
regularity; normality; M-normality; M-regularity; Urysohn lemma;
D O I：
10.4995/agt.2022.16720
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the concept of m-open sets, M-regularity and M-normality are introduced and investigated. Both these notions are closed under ar-bitrary product. M-normal spaces are found to satisfy a result similar to Urysohn lemma. It is shown that closed sets can be separated by m-continuous functions in a regular space.
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页码：243 / 253
页数：11
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