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|Title||On Upper and Lower Bounded Spaces|
In this thesis, we study a special types of Alexandroff spaces, called upper bounded and lower bounded T0 A-spaces. We prove that UB T0 A-spaces and g-Artinian T0 Aspaces are incomparable and containing Artinian T0 A-spaces in the regain of intersection. We introduce A-dcts as a proper subclass of UB T0 A-space. We give a characterization of g-closed set in LB T0 A-spaces, and we find new relations between various kinds of g-closed sets in UB T0 A-space. The main purpose of this thesis is generalizing many results, which are proved previously on Artinian T0 A-space, to UB T0 A-space.
|Publisher||الجامعة الإسلامية - غزة|
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