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

AIMS Mathematics

article

Ferit Yalaz¹  Aynur Keskin Kaymakcı¹ 

[1] Department of Mathematics, Faculty of Science, Selcuk University

关键词: ideal topological space;    local function;    local closure function;    closure operator;    Hayashi-Samuel space;    closure compatibility;   

DOI  :  10.3934/math.2023358

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this study, a $ \zeta^*_\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_{\zeta^*_\Gamma} $ operator is defined and topologies are obtained. Moreover, alternative answers are given to an open question found in the literature. $ \Psi_{\zeta^*_\Gamma} $-compatibility is defined and its properties are examined. $ \Psi_{\zeta^*_\Gamma} $-compatibility is characterized with the help of the new operator. Finally, new spaces were defined and characterized.

【 授权许可】

CC BY