On b-open sets and certain forms of continuity

العناوين الأخرى

حول المجموعات المفتوحة من النمط b و صيغ محددة من الاتصال

مقدم أطروحة جامعية

Abu-Gdairi, Radwan Ahmad

مشرف أطروحة جامعية

Ubaydi, Udhyh

أعضاء اللجنة

al-Banawi, Kamal Ata Allah Salih
Musaidah, Basim
Furah, Ali Ahmad

الجامعة

جامعة مؤتة

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات و الإحصاء

دولة الجامعة

الأردن

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2005

الملخص الإنجليزي

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.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

46

قائمة المحتويات

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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-309601