Fundamental groups and covering spaces of transnormal manifolds

Other Title(s)

الزمر الأساسية و غطاء الفضاءات لمتعدد الطيات ناقلة الأعمدة

Dissertant

al-Namarinh, Ahmad Mahmud

Thesis advisor

al-Banawi, Kamal Ata Allah Salih

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2019

Arabic Abstract

إن متعدد الطيات ناقل الأعمدة ليس إلا فضاء تبولوجيا ها و سدورفيا قابلا للعد من الدرجة الثانية تتفق فيه المستويات العمودية المتقابلة.

في هذه الرسالة، تم شرح مفهومي الزمر الأساسية و غطاء الفضاءات، و ذكرت بعض النظريات المهمة المتعلقة بها إن أهم فكرة في هذه الرسالة هي إثبات أن متعدد الطبات ناقل الأعمدة يغطى بواسطة فضائه المؤلف من المستويات العمودية.

English Abstract

A transnormal manifold is a Hausdorff second countable topological space with agreement between opposite normal planes.

In this thesis, the concepts of fundamental groups and covering spaces are explained, and some important theorems are stated about them.

The most important idea in this thesis is to show that a transnormal manifold is covered by its space of normal planes.

Main Subjects

Mathematics

No. of Pages

21

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Preliminaries.

Chapter Three : Euclidean transnormality.

Chapter Four : Algebraic topology of transnormal manifolds.

References.

American Psychological Association (APA)

al-Namarinh, Ahmad Mahmud. (2019). Fundamental groups and covering spaces of transnormal manifolds. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1402415

Modern Language Association (MLA)

al-Namarinh, Ahmad Mahmud. Fundamental groups and covering spaces of transnormal manifolds. (Master's theses Theses and Dissertations Master). Mutah University. (2019).
https://search.emarefa.net/detail/BIM-1402415

American Medical Association (AMA)

al-Namarinh, Ahmad Mahmud. (2019). Fundamental groups and covering spaces of transnormal manifolds. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-1402415

Language

English

Data Type

Arab Theses

Record ID

BIM-1402415