Alexandroff spaces via types of lattices
Other Title(s)
فضاءات الكساندروف من خلال بعض أنواع اللاتيس
Dissertant
Thesis advisor
Comitee Members
Asad, Asad Yusuf
Hakawati, Abd Allah Askar
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2015
English Abstract
-In this thesis, we survey the general topological concepts for the Alexandroff, upper, lower, Scott, Lawson, interval and order topologies.
These topologies are induced by posets and are one of the fundamental foundations of theoretical computer science.
We shall be talking about special types of Alexandroff spaces via various kinds of lattices.
We transform some definitions and poset properties to topological properties.
Finally, we shed light on some topological properties of these spaces such as separation axioms, pre-openes, semi-openes, and α-openes.
Furthermore, we give some results on products of this new type of Alexandroff spaces
Main Subjects
No. of Pages
99
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Preliminaries.
Chapter Two : Induced topologies from posets ; survey study (Part I).
Chapter Three : Induced topologies from posets ; survey study (Part II).
Chapter Four : New types of alexandroff topologies.
References.
Conclusion
American Psychological Association (APA)
Uthman, Hibah Ahmad Muhammad. (2015). Alexandroff spaces via types of lattices. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-611057
Modern Language Association (MLA)
Uthman, Hibah Ahmad Muhammad. Alexandroff spaces via types of lattices. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-611057
American Medical Association (AMA)
Uthman, Hibah Ahmad Muhammad. (2015). Alexandroff spaces via types of lattices. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-611057
Language
English
Data Type
Arab Theses
Record ID
BIM-611057
