On Λm-sets and related topological spaces

被引：18
作者：
Cammaroto, F [1 ]
Noiri, T
机构：
[1] Univ Messina, Dipartimento Matemat, I-98166 Messina, Italy
[2] Yatsushiro Natl Tech Coll, Dept Math, Yatsushiro, Kumamoto 8668501, Japan
来源：
ACTA MATHEMATICA HUNGARICA | 2005年 / 109卷 / 03期
关键词：
m-structure; m-open; Lambda(m)-set; (Lambda; m)-closed set; g Lambda(m)-set; (X; Lambda(m)); Lambda(mc)); Lambda(g Lambda m)); m-R-0; m-T1/2; discrete topology; M-continuous;
D O I：
10.1007/s10474-005-0245-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and investigate three topological spaces (X, Lambda(m)), (X, Lambda(mc)*) and (X, Lambda(g Lambda m)) by using Lambda(m)-sets, (Lambda, m)-closed sets and generalized Lambda(m)-sets, respectively. Especially, we study properties of weak separation axioms on these topological spaces. The investigation enables us to obtain a unified theory of notions related to A-sets [21], semi-A-sets [5] and pre-Lambda-sets [5] in topological spaces.
引用
收藏
页码：261 / 279
页数：19
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