A note on the new set operator ?r

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dc.contributor.authorAtay, Arife
dc.contributor.authorTutalar, Hasan Ilhan
dc.date.accessioned2024-04-24T17:20:44Z
dc.date.available2024-04-24T17:20:44Z
dc.date.issued2018
dc.departmentDicle Üniversitesien_US
dc.description.abstractRecently many published works made on local function used in ideal topological spaces can be found in related literature. Semi Local Functions in Ideal Topological Spaces, Closure Local Functions, and ()(p) and psi(p)-Operator can be mentioned among such works those aim to define such functions. In general, the researchers prefer using the generalized open sets instead of topology in ideal topological spaces. Obtaining a Kuratowski closure operator with the help of local functions is an important detail in ideal topological space. However, it is not possible to obtain a Kuratowski closure operator from many of these local functions proposed by the above mentioned works. In order to address the lack of such an operator, the goal of this paper is to introduce another local function to give possibility of obtaining a Kuratowski closure operator. On the other hand, regular local functions defined for ideal topological spaces have not been found in the current literature. Regular local functions for the ideal topological spaces has been described within this work. Moreover, with the help of regular local functions Kuratowski closure operators cl*(r)(I) and T*(r) topology are obtained. Many theorems in the literature have been revised according to the definition of regular local functions.en_US
dc.identifier.doi10.32513/tbilisi/1546570884
dc.identifier.endpage52en_US
dc.identifier.issn1512-0139
dc.identifier.issue4en_US
dc.identifier.startpage43en_US
dc.identifier.urihttps://doi.org/10.32513/tbilisi/1546570884
dc.identifier.urihttps://hdl.handle.net/11468/19224
dc.identifier.volume11en_US
dc.identifier.wosWOS:000457192200004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoenen_US
dc.publisherTbilisi Centre Math Scien_US
dc.relation.ispartofTbilisi Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRegular Open Seten_US
dc.subjectRegular Closed Seten_US
dc.subjectIdeal Topological Spaceen_US
dc.subjectLocal Functionen_US
dc.subjectRegular Local Functionen_US
dc.titleA note on the new set operator ?ren_US
dc.titleA note on the new set operator ?r
dc.typeArticleen_US

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