Soft compactification in soft topological spaces

Dissertant

Musa, Wisam Ibrahim Hasan

Thesis advisor

al-Mabhuh, Ahmad Abd al-Rauf

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Ph.D.

Degree Date

2019

English Abstract

In this thesis, we study some properties of soft ultrafilters and construct a topological space of soft ultrafilters on X.

We study the topological properties of this space such as clopen sets, seperation axioms.

We define weakly soft compactification in soft topological space.

Also when X is a semigroup which is also a soft topological space, we extend the operation to the weakly soft compactification.

We study some of algebriac and topological properties.

Some examples of semitopological semigroups of soft ultrafilters are introduced .

Main Subjects

Mathematics

Topics

No. of Pages

76

Table of Contents

Table of contents.

Abstract.

Introduction.

Chapter One : Preliminaries.

Chapter Two : Weakly soft compactification of a soft discrete space.

Chapter Three : Compact semitopological semigroups of soft ultrafilters.

References.

American Psychological Association (APA)

Musa, Wisam Ibrahim Hasan. (2019). Soft compactification in soft topological spaces. (Doctoral dissertations Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901392

Modern Language Association (MLA)

Musa, Wisam Ibrahim Hasan. Soft compactification in soft topological spaces. (Doctoral dissertations Theses and Dissertations Master). Islamic University. (2019).
https://search.emarefa.net/detail/BIM-901392

American Medical Association (AMA)

Musa, Wisam Ibrahim Hasan. (2019). Soft compactification in soft topological spaces. (Doctoral dissertations Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901392

Language

English

Data Type

Arab Theses

Record ID

BIM-901392