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Öğe A Decomposition of Continuity(AKADEMIAI KIADO, 1996) Hatır, E.; Noiri, T.; Yüksel, S.Tong [11] introduced the notions of A-sets and A-continuity in topological spaces and established a decomposition of continuity. In [12], he also introduced the notions of B-sets and B-continuity and used them to obtain a new decomposition of continuity. Recently, Ganster and Reilly [3] have improved Tong's decomposition result and provided a decomposition of A-continuity. Quite recently, Przemski [10] has obtained some decompositions of continuity and weak continuity. In this paper, we introduce the notions of a*-sets and C-continuity and obtain another decomposition of continuity.Öğe A decomposition of continuity in ideal topological spaces(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe introduce the notions of w-l-continuous and w*-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain a decomposition of continuous functions.Öğe Decompositions of Continuity and Complete Continuity(Springer, 2006) Hatır, Eşref; Noiri, T.We introduce the notions of delta-t-sets, delta(beta)-t-sets, delta-B-continuity and delta(beta) -B-continuity and obtain decompositions of continuity and complete continuity.Öğe Decompositions of Continuity and Complete Continuity -- 2(Indian Nat Sci Acad, 2002) Hatır, E.; Noiri, T.We introduce semipre-regular sets and the class of weak AB-sets as the intersection of an open set and a semipre-regular. set. By using these sets, a new decomposition of continuity is provided. We obtain new decompositions of completely continuous functions.Öğe On \delta -I-continuous functions(2005) Yüksel, Şaziye; Açıkgöz, Ahu; Noiri, T.In this paper, we introduce a new class of functions called \delta-I-continuous functions. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of functions.Öğe On alpha-I-continuous and alpha-I-open functions(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe study the concepts of alpha-I-continuity and alpha-I-openness in ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate its relationship with other types of functions.Öğe ON bD-SETS AND ASSOCIATED SEPARATION AXIOMS(SPRINGER SINGAPORE PTE LTD, 2009) Keskin, A.; Noiri, T.Here, first we introduce and investigate bD-sets by using the notion of b-open sets to obtain some weak separation axioms. Second, we introduce the notion of gb-closed sets and then investigate some relations of between b-closed and gb-closed sets. We also give a characterization of b-T-1/2 spaces via gb-closed sets. We introduce two new weak homeomorphisms which are important keys between General Topology and Algebra. Using the notion of m(X)-structures, we give a characterization theorem of m(X)-T-2 spaces. Finally, we give some examples related to the digital line.Öğe On Decompositions of Continuity via Idealization(AKADEMIAI KIADO, 2002) Hatır, Eşref; Noiri, T.We have introduced alpha-I-open, semi-I-open and beta-I-open sets via idealization and using these sets obtained new decompositions of continuity.Öğe On delta-beta-continuous functions(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Hatir, E.; Noiri, T.In Hatir and Noiri [Hatir E, Noiri T. Decompositions of continuity and complete continuity. Acta Math Hungary 113(4); 2006: 281-287], delta-beta-continuity has given to obtain a decomposition of continuity. In this paper, we investigate the properties of delta-beta-continuous functions and discuss characterizations and the relationships with related functions. (C) 2008 Elsevier Ltd. All rights reserved.Öğe On delta-I-open sets and decomposition of alpha-I-continuity(SPRINGER, 2004) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeWe introduce the notions of delta-I-open sets and semi delta-I-continuous functions in ideal topological spaces and investigate some of their properties. Additionally, we obtain decompositions of semi-I-continuous functions and alpha-I-continuous functions by using delta-I-open sets.Öğe On Hausdorff spaces via ideals and semi-I-irresolute functions(2009) Hatir, E.; Noiri, T.We introduce the notion of semi-I-Hausdorff spaces which is weaker than Hausdorff spaces and independent both I-Hausdorff and quasi-I-Hausdorff.Öğe On*-operfect Sets and Alpha-*-closed Sets(Springer, 2010) Açıkgöz, Ahu; Noiri, T.; Yüksel, ŞaziyeThe main purpose of this paper is to introduce *-operfect, tau*-clopen, alpha-*-closed, strongly alpha-*-closed and pre-*-closed sets. We compare them and obtain a diagram to show their relationships among these sets and related sets.Öğe Strong B I-sets and a Decomposition of Continuity via Idealization(2005) Keskin, A.; Noiri, T.; Yüksel, S.We introduce the notions of Q I-sets and strong B I-sets. Then we investigate properties of strong B I-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.Öğe Strong C-Sets and Decompositions of Continuity(Akademiai Kiado, 2002) Hatır, Eşref; Noiri, T.Hatir et al. [5] introduced the notions of C-sets and C-continuity in topological spaces and established a decomposition of continuity. Recently, Dontchev [4] has also provided a decomposition of continuity by using the notion of strong B-sets. In this paper, we introduce strongly semi-closed sets and strongly beta-closed sets and by using these sets we define strong B-sets and strong C-sets which are situated between strong B-sets in the sense of Dontchev and C-sets. We obtain new decompositions of continuity by using strong B-sets and strong C-sets.
