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http://hdl.handle.net/20.500.12358/21346
Title | Continuity and Separation Axioms Based on βc-Open Sets |
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Title in Arabic | الاتصال و مسلمات الانفصال طبقا للمجموعات bc المفتوحة |
Abstract |
In this thesis, we study a new class of sets called βc-open sets which is contained in the class of β-open sets and contains the class of bc-open sets. We prove that the topology generated by the family of βc-open sets in a natural way is the same as the topology of θ-open sets in extremally disconnected Alexandroff spaces. Moreover, we introduce βccontinuous functions as a new class of continuous functions and give a characterization of these functions. Finally, we define βc-g.closed sets and investigate new separation axioms βc-Tk, k ∈ {0;½; 1; 2}. |
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Type | رسالة ماجستير |
Date | 2015 |
Language | English |
Publisher | الجامعة الإسلامية - غزة |
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License | ![]() |
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