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1 - F-Closedness in Bitopological SpacesJournal of Linear and Topological Algebra , Issue 1 , Year , Winter 2016The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships c MoreThe purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces with other corresponding types are established. Moreover, several of its basic and important properties are discussed. Manuscript profile -
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2 - Some topological operators via grillsJournal of Linear and Topological Algebra , Issue 4 , Year , Summer 2016In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterizationand basic properties of these operators are obtained. Also, we generalize a grill topological spacesvia topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterizationand basic properties of these operators are obtained. Also, we generalize a grill topological spacesvia topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$. Manuscript profile -
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3 - Preclosure operator and its applications in general topologyJournal of Linear and Topological Algebra , Issue 1 , Year , Winter 2018In this paper, we show that a pointwise symmetric pre-isotonic preclosurefunction is uniquely determined the pairs of sets it separates. We then showthat when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isoto MoreIn this paper, we show that a pointwise symmetric pre-isotonic preclosurefunction is uniquely determined the pairs of sets it separates. We then showthat when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric,functions which separate only those pairs of sets which are already separatedare precontinuous. Manuscript profile -
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4 - Weak separation axioms via almost-ID-setsJournal of Linear and Topological Algebra , Issue 5 , Year , Autumn 2020The purpose of this paper is to introduce some new classes of almost ideal topological spaces by using the notion of almost-$I$-open sets and study some of their fundamental properties. We study some low separation axioms in almost ideal topological spaces.The purpose of this paper is to introduce some new classes of almost ideal topological spaces by using the notion of almost-$I$-open sets and study some of their fundamental properties. We study some low separation axioms in almost ideal topological spaces. Manuscript profile
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