Local T_3 Constant Filter Convergence Spaces

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.