A new local function and a new compatibility type in ideal topological spaces

被引：0

作者：

Yalaz, Ferit ^{[1
]}

Kaymakci, Aynur Keskin ^{[1
]}

机构：

[1] Selcuk Univ, Fac Sci, Dept Math, TR-42130 Konya, Turkiye

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 03期

关键词：

ideal topological space; local function; local closure function; closure operator; Hayashi-Samuel space; closure compatibility; CONTINUITY;

D O I：

10.3934/math.2023358

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, a & sigmaf;*(gamma)-local function is defined and its properties are examined. This newly defined local function is compared with the well-known local function and the local closure function according to the relation of being a subset. With the help of this new local function, the psi(& sigmaf;*gamma) operator is defined and topologies are obtained. Moreover, alternative answers are given to an open question found in the literature. psi(& sigmaf;*gamma)-compatibility is defined and its properties are examined.psi(& sigmaf;*gamma)-compatibility is characterized with the help of the new operator. Finally, new spaces were defined and characterized.

引用

页码：7097 / 7114

页数：18

共 28 条

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