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    ON PARTIALLY TOPOLOGICAL GROUPS: EXTENSION CLOSED PROPERTIES
    (FORUM EDITRICE UNIV UDINESE, 2018) Kaymakci, Aynur Keskin; Othman, Wan Aunin Mior; Ozel, Cenap
    The partially (para)topological groups were defined in [9]. In this paper, we give more results in partially topological groups in the sense of H. Delfs and M. Knebusch and we prove extension closed property for connectedness, compactness, and separability of partially topological groups.
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    ON STRONG beta-I-OPEN SETS AND DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES
    (UNIV PRISHTINES, 2017) Al Shumrani, M. A.; Ozel, Cenap; Kaymakci, Aynur Keskin
    In this paper, first we give some characterizations and properties of strong beta-I-open sets. Then, we obtain a decomposition of semi-I-closed sets by using strong beta-I-open sets and t-I-sets. In addition, we give decompositions of open sets in any extremally disconnected space and in any ideal topological space. Moreover, we define AK(I)-set and AK(I)*-set and give decompositions of continuity.