Document Details

Document Type : Thesis 
Document Title :
P-Normal Topological Property
الخاصية التوبولوجية P- الناظمة
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this dissertation, we define a new topological property which we call P -normality. A topological space X is called P -normal if there exist a normal space Y and a bijective function f:X→Y such that the restriction f|_A:A→f(A) is a homeomorphism for each paracompact subspace A of X. We will investigate this property and produce some examples to illustrate the relation between P -normality and other weaker kinds of normality. We start by proving the independence of this topological property from related properties such as normality, paracompactness, C-normality and L-normality. Then, we investigate its relation with other topological properties such as submetrizability and epinormality. We also study many topological aspects of P -normal topological spaces such as hereditary, product, sum, invariance and inverse invariance. We present some new results on P -normality as we investigate the Alexandro Duplicate of a P -normal space, the closed extension of a P -normal space, the discrete extension of a P -normal space and the Dowker topological space. Finally, we introduce a new related topological property called strong P -normality and investigate its relation with P -normality and its topological aspects. 
Supervisor : Prof. Lutfi Kalantan 
Thesis Type : Doctorate Thesis 
Publishing Year : 1444 AH
2022 AD 
Added Date : Tuesday, February 28, 2023 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
مي فيصل منصوريMansouri, Mai FaisalResearcherDoctorate 

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