Local T_3 Constant Filter Convergence Spaces
Authors : Ayhan Erciyes, Tesnim Meryem Baran
Pages : 446-454
Doi:10.35378/gujs.602155
View : 9 | Download : 6
Publication Date : 2020-06-01
Article Type : Research
Abstract :In this paper, we characterize each of local T_3(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 (resp. T_3'ConFCO and ST_3'ConFCO) of ConFCO are isomorphic categories. Moreover, we show that if a constant filter convergence space (B,K) is T _3 (resp. T_3^' , ST _3 or ST_3') at p and M⊂B with p∈M, then M is T _3 (resp. T_3^' ) at p.Keywords : Topological category, Convergence spaces, PreHausdorff spaces, T_3 spaces