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

Autor: Ferit Yalaz, Aynur Keskin Kaymakcı
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 3, Pp 7097-7114 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023358?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals