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Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
New Topologies Between the Usual and Niemytzki
توبولوجيات جديدة بين الإقليدي ونيمتيسكي
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
In this thesis, we use the technique of Hattori to generate new topologies on the closed upper half plane which lie between the usual metric topology and the Niemytzki topology. We call each one of them by the same name H-space and denote it by 𝒰A𝒩. We study some of the fundamental properties of these H-spaces such as countability, separation axioms, compactness, connectedness, and metrizability. Then, we extend our study to include some new weaker versions of normality of the H-spaces such as C-normality, L-normality, S-normality, CC-normality, and C2-paracompactness.
Supervisor
:
Dr. Lutfi Kalantan
Thesis Type
:
Master Thesis
Publishing Year
:
1440 AH
2019 AD
Co-Supervisor
:
Dr. Dina Abuzaid
Added Date
:
Thursday, May 16, 2019
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
مها سعيد القحطاني
Alqahtani, Maha Saeed
Researcher
Master
Files
File Name
Type
Description
44443.pdf
pdf
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