Continuity and separation axioms based On-c-open sets
Other Title(s)
الاتصال و مسلمات طبقا للمجموعات βc-المفتوحة
Dissertant
Thesis advisor
Comitee Members
Aqilan, Muhammad Jamal
Mahdi, Hisham Bashir
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2015
English Abstract
In this thesis, we study a new class of sets called c-open sets which is contained in the class of -open sets and contains the class of bc-open sets.
We prove that the topology generated by the family of c-open sets in a natural way is the same as the topology of -open sets in extremally disconnected Alexandro spaces.
Moreover, we introduce c- continuous functions as a new class of continuous functions and give a characterization of these functions.
Finally, we de ne c-g.closed sets and investigate new separation axioms c-Tk, k 2 f0; 1 2 ; 1; 2g.
Main Subjects
No. of Pages
67
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Preliminaries.
Chapter Two : βc-Open Sets.
Chapter Three : βc-continuous functions.
Chapter Four : βc-separation axioms.
References.
American Psychological Association (APA)
Mizyid, Ayman Yusuf Husayn. (2015). Continuity and separation axioms based On-c-open sets. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-610850
Modern Language Association (MLA)
Mizyid, Ayman Yusuf Husayn. Continuity and separation axioms based On-c-open sets. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-610850
American Medical Association (AMA)
Mizyid, Ayman Yusuf Husayn. (2015). Continuity and separation axioms based On-c-open sets. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-610850
Language
English
Data Type
Arab Theses
Record ID
BIM-610850
