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http://hdl.handle.net/20.500.12358/21346
TitleContinuity and Separation Axioms Based on βc-Open Sets
Title in Arabicالاتصال 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}.

Authors
Mizyed, Ayman Y.
Supervisors
El Mabhouh, Ahmad A.
Typeرسالة ماجستير
Date2015
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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