Minimal structure and related Alexandroff spaces

مقدم أطروحة جامعية

Asad, Asma Asad Yusuf

مشرف أطروحة جامعية

Mahdi, Hisham B.

الجامعة

الجامعة الإسلامية

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

فلسطين (قطاع غزة)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2013

الملخص الإنجليزي

-Alexandroff topological space is a kind of topology which satisfies a stronger condition.

Namely, arbitrary intersections of open sets is open.

The main aim of this thesis is to study the concepts of an Alexandroff topological spaces which related to a family of subsets of a nonempty set called minimal structure.

We study some families of a new type of minimal structure and construct a new collection of sets related to this minimal structure such as ∧m and Vm which will be Alexandroff spaces.

We study some of topological properties using previous studies of Alexandroff spaces.

We give a characterization of the order which generated by these topological spaces.

We prove that the topologies generated by this Order are the same topologies Λm on X.

Finally we study some mappings related to these new type of topologies related to m−structure.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

60

قائمة المحتويات

Table of contents.

Abstract.

Introduction.

Chapter One : Preliminaries.

Chapter Two : A m-sets and minimal alexandroff spaces.

Chapter Three : The duality for the alexandroff spac (X ; Am).

Chapter Four : Bi m-space and related topological spaces.

References.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Asad, Asma Asad Yusuf. (2013). Minimal structure and related Alexandroff spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531149

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Asad, Asma Asad Yusuf. Minimal structure and related Alexandroff spaces. (Master's theses Theses and Dissertations Master). Islamic University. (2013).
https://search.emarefa.net/detail/BIM-531149

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Asad, Asma Asad Yusuf. (2013). Minimal structure and related Alexandroff spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531149

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-531149