Closure Operators in Constant Filter Convergence Spaces

Year 2020, Volume: 8 Issue: 1, 185 - 191, 15.04.2020

Ayhan Erciyes , Tesnim Meryem Baran Muhammad Qasim

https://izlik.org/JA45JS28JB

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

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