Closure Operators in Constant Filter Convergence Spaces

Authors : Ayhan ERCİYES, Tesnim Meryem BARAN, Muhammad QASİM

Pages : 185-191

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Publication Date : 2020-04-15

Article Type : Research Paper

Abstract :In this paper, we define two notions of closure in the category of constant filter convergence spaces which satisfy productivity, idempotency, and hereditariness. Moreover, by using these closure operators, we characterize each of $T_{i}$ constant filter convergence spaces, $i=0,1,2$ and show that each of these subcategories consisting of $T_{i}$ constant filter convergence spaces, $i=0,1,2$, are epireflective. Finally, we investigate the relationship among these subcategories.
Keywords : Topological category, closure operator, constant filter convergence spaces