Local T_3 Constant Filter Convergence Spaces

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Gazi University Journal of Science
Volume:33 Issue:2
Local T_3 Constant Filter Convergence Spaces

Local T_3 Constant Filter Convergence Spaces

Authors : Ayhan ERCİYES, Tesnim Meryem BARAN

Pages : 446-454

Doi:10.35378/gujs.602155

View : 18 | Download : 6

Publication Date : 2020-06-01

Article Type : Research Paper

Abstract :In this paper, we characterize each of local T_3insert ignore into journalissuearticles values(resp. T_3`, ST _3, ST_3`); constant filter convergence spaces and investigate the relationships among these various forms. We show that the full subcategories T_3 ConFCO and ST_3 ConFCO insert ignore into journalissuearticles values(resp. T_3`ConFCO and ST_3`ConFCO); of ConFCO are isomorphic categories. Moreover, we show that if a constant filter convergence space insert ignore into journalissuearticles values(B,K); is T _3 insert ignore into journalissuearticles values(resp. T_3^` , ST _3 or ST_3`); at p and M⊂B with p∈M, then M is T _3 insert ignore into journalissuearticles values(resp. T_3^` ); at p.
Keywords : Topological category, Convergence spaces, PreHausdorff spaces, T 3 spaces

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