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    f(I)-sets and decomposition of RIC-continuity
    (AKADEMIAI KIADO, 2004) Keskin, A; Noiri, T; Yuksel, S
    First, we introduce the notion of f(I)-sets and investigate their properties in ideal topological spaces. Then, we also introduce the notions of R-I C-continuous, f(I)-continuous and contra*-continuous functions and we show that a function f : (X,tau,I) --> (Y, phi) is RIC-continuous if and only if it is f(I)-continuous and contra*-continuous.
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    Idealization of a decomposition theorem
    (AKADEMIAI KIADO, 2004) Keskin, A; Noiri, T; Yuksel, S
    In 1986, Tong [13] proved that a function f : (X, tau) --> (Y, phi) is continuous if and only if it is alpha-continuous and A-continuous. We extend this decomposition of continuity in terms of ideals. First, we introduce the notions of regular-I-closed sets, A(I)-sets and A(I)-continuous functions in ideal topological spaces and investigate their properties. Then, we show that a function f : (X, 7, 1) --> (Y, phi) is continuous if and only if it is alpha-I-continuous and A(I)-continuous.
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    A note on f(I)-sets and f(I)-continuous functions
    (AKADEMIAI KIADO, 2005) Keskin, A; Noiri, T; Yuksel, S
    In [6], we introduced and investigated the notions of f(I)-sets and f(I)-continuous functions in ideal topological spaces. In this paper, we investigate their further important properties.
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    A note on strong beta-I-sets and strongly beta-I-continuous functions
    (AKADEMIAI KIADO, 2005) Hatir, E; Keskin, A; Noiri, T
    In [6], we introduced and investigated the notions of strong,beta-I-open sets and strong beta-I-continuous functions in ideal topological spaces. In this paper, we investigate further their important properties.
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    Strong B-I-sets and a decomposition of continuity via idealization
    (AKADEMIAI KIADO, 2005) Keskin, A; Noiri, T; Yuksel, S
    We introduce the notions of Q(I)-sets and strong B-I-sets. Then we investigate properties of strong BI-sets. Additionally, we obtain a new decomposition of continuity via idealization by using strong B-I-sets. Consequently, we extend a decomposition theorem of Dontchev [5] in terms of ideals.