On minimal and maximal regular open sets
Other Title(s)
حول المجموعات المفتوحة المنتظمة العظمى و الصغرى
Dissertant
Nasr, Fadwa Muhammad Abd Allah
Thesis advisor
Comitee Members
Asad, Asad Yusuf
Uqaylan, Muhammad Jamal
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2016
English Abstract
In this thesis, we study the concepts of minimal and maximal regular open sets and their relations with minimal and maximal open sets.
We study several properties of such concepts in a semi-regular space.
It is mainly shown that in a semi-regular space, the concepts of minimal open sets and minimal regular open sets are identical.
We introduce and study new type of sets called minimal regular generalized closed.
A special interest type of topological space called rTmin space is studied and obtain some of its basic properties.
We introduce new types of continuous functions called regular minimal continuous and regular maximal continuous functions.
Moreover, the relation between regular minimal and regular maximal continuous functions and other types of continuous functions are studied and investigated.
Finally, we study some properties of these types of continuous functions.
Main Subjects
No. of Pages
56
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Preliminaries.
Chapter Two : Types of minimal and maximal sets.
Chapter Three : Minimal and maximal regular open sets.
Chapter Four : Regular-minimal and regular maximal-continuous functions.
Conclusion.
References.
American Psychological Association (APA)
Nasr, Fadwa Muhammad Abd Allah. (2016). On minimal and maximal regular open sets. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727232
Modern Language Association (MLA)
Nasr, Fadwa Muhammad Abd Allah. On minimal and maximal regular open sets. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-727232
American Medical Association (AMA)
Nasr, Fadwa Muhammad Abd Allah. (2016). On minimal and maximal regular open sets. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727232
Language
English
Data Type
Arab Theses
Record ID
BIM-727232
