@article{Yalaz2023, 
author = {Ferit Yalaz and Aynur Keskin Kaymakcı},
title = {A new local function and a new compatibility type in ideal topological spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {7097-7114},
keywords = {closure operator, ideal topological space, local function, local closure function, Hayashi-Samuel space, closure compatibility},
url = {https://www.sciopen.com/article/10.3934/math.2023358},
doi = {10.3934/math.2023358},
abstract = {In this study, a        ζ    Γ    ∗  -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        Ψ                  ζ        Γ        ∗             operator is defined and topologies are obtained. Moreover, alternative answers are given to an open question found in the literature.        Ψ                  ζ        Γ        ∗            -compatibility is defined and its properties are examined.        Ψ                  ζ        Γ        ∗            -compatibility is characterized with the help of the new operator. Finally, new spaces were defined and characterized.}
}