2021
DOI: 10.31801/cfsuasmas.644689
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Set operators and associated functions

Abstract: The study of two operators local function and the set operator on the ideal topological spaces are likely to be the same as the study of closure and interior operator of the topological spaces. However, they are not exactly equal to the interior and closure operator of the topological spaces. In this context, we introduce two new set operators on the ideal topological spaces. Detailed properties of these two operators are the part of this article. Furthermore, the operators interior (resp. ) and closure (local… Show more

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Cited by 3 publications
(3 citation statements)
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References 11 publications
(9 reference statements)
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“…A subset of U is called relatively compact if its closure is compact. The collection of all nowhere dense subsets I nw = {M ⊆ U : M is nowhere dense}, the collection of all closed-discrete subsets I cd = {M ⊆ U : M is closed and discrete}, the collection of all meager subsets I mg = {M ⊆ U : M is meager set}, the collection of all relatively compact subsets I K = {M ⊆ U : M is relatively compact} and [16,24,33]. if U is not the union of two separated subsets.…”
Section: Preliminariesmentioning
confidence: 99%
“…A subset of U is called relatively compact if its closure is compact. The collection of all nowhere dense subsets I nw = {M ⊆ U : M is nowhere dense}, the collection of all closed-discrete subsets I cd = {M ⊆ U : M is closed and discrete}, the collection of all meager subsets I mg = {M ⊆ U : M is meager set}, the collection of all relatively compact subsets I K = {M ⊆ U : M is relatively compact} and [16,24,33]. if U is not the union of two separated subsets.…”
Section: Preliminariesmentioning
confidence: 99%
“…Furthermore, Ψ-operator [4], extensions of ideal [5], I-open sets [6], P C ⋆ -closed sets [7], and weakly I rg -open sets [8] are the other examples of these topics. Apart from these topics, Selim et al [9,10] and Modak and Selim [11] also studied various set operators acquired by local function and Ψ-operator.…”
Section: Introductionmentioning
confidence: 99%
“…Recently Selim and Modak [1] introduced associated set-valued set function (in short associated function) in literature. The operator on an ideal topological space is an example of an associated function.…”
Section: Introductionmentioning
confidence: 99%