A GENERALIZED APPROACH TOWARDS NORMALITY FOR TOPOLOGICAL SPACES

被引：0
|
作者：
Gupta, Ankit [1 ]
Sarma, Ratna Dev [2 ]
机构：
[1] Univ Delhi, Bharati Coll, Dept Math, Delhi 110058, India
[2] Univ Delhi, Rajdhnai Coll, Dept Math, Delhi 110015, India
来源：
KOREAN JOURNAL OF MATHEMATICS | 2021年 / 29卷 / 03期
关键词：
normality; regularity; generalized topology; Urysohn's lemma; partition of unity; theta-normality; delta-normality;
D O I：
10.11568/kjm.2021.29.3.501
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A uniform study towards normality is provided for topological spaces. Following Csaszar, gamma-normality and gamma(theta)-normality are introduced and investigated. For gamma is an element of Gamma(13), gamma-normality is found to satisfy Urysohn's lemma and provide partition of unity. Several existing variants of normality such as theta-normality, Delta-normality etc. are shown to be particular cases of gamma(theta)-normality. In this process, gamma-regularity and gamma(theta)-regularity are introduced and studied. Several important characterizations of all these notions are provided.
引用
收藏
页码：501 / 510
页数：10
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