On b-open sets and certain forms of continuity
Other Title(s)
حول المجموعات المفتوحة من النمط b و صيغ محددة من الاتصال
Dissertant
Thesis advisor
Comitee Members
al-Banawi, Kamal Ata Allah Salih
Musaidah, Basim
Furah, Ali Ahmad
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2005
English Abstract
Many generalizations to open sets are considered by several authors, such as, s-open (Levine, 1963), a-open (Njastad, 1965), (3-open (Abd El-Monsef, 1983), pre-open (Mashhour, 1982), b-open (Andrijevic, 1996) and b*-open set (Al-Obiadi [2]).
This work aims to study these classes of open sets, and investigate various forms for generalizations of continuity concerning these classes of open sets.
Thus, we generalize and study the notions of strong continuity, totally continuity, contra continuity, b-continuity, totally b-continuity, contra b-continuity and contra b*-continuity are investigated.
Furthermore, many properties and characterizations are given.
The work also aims to give an answer for the question: which class of generalized continuity transforms compact spaces onto strongly S-closed spaces Corollary (4.4.7).
Among the results we have: Theorems 3.1.20., 3.1.24., 3.1.25., 3.1.27., 3.2.23., 4.2.4., 4.3.4., 4.3.5., 4.4.10.
and Corollaries 4.4.5., 4.4.7.
Main Subjects
No. of Pages
46
Table of Contents
Table of contents.
Abstract.
Chapter One : introduction.
Chapter Two : generalization of continuity.
Chapter Three : otally continuity and strongly continuity.
Chapter Four : contra b-continuous functions between topological spaces.
References.
American Psychological Association (APA)
Abu-Gdairi, Radwan Ahmad. (2005). On b-open sets and certain forms of continuity. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-309601
Modern Language Association (MLA)
Abu-Gdairi, Radwan Ahmad. On b-open sets and certain forms of continuity. (Master's theses Theses and Dissertations Master). Mutah University. (2005).
https://search.emarefa.net/detail/BIM-309601
American Medical Association (AMA)
Abu-Gdairi, Radwan Ahmad. (2005). On b-open sets and certain forms of continuity. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-309601
Language
English
Data Type
Arab Theses
Record ID
BIM-309601
