Tesnim Meryem BARAN, Ayhan ERCIYES

Local $T_3$ Constant Filter Convergence Spaces

In this paper, we characterize each of local $T_3$(resp. ?3′, ??̅3, ??3′) constant filter convergencespaces and investigate the relationships among these various forms. We show that the fullsubcategories ?̅3?????? and ??̅3?????? (resp. ?3′?????? and ??3′??????) of ?????? areisomorphic categories. Moreover, we show that if a constant filter convergence space (B,K) is ?̅3(resp. ?3′, ??̅3 or ??3′) at p and M⊂B with p∈M, then M is ?̅3 (resp. ?3′) at p

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