Document Details

Document Type : Thesis 
Document Title :
Set-open Topologies on Function spaces and Applications
توبولوجي فتح المجموعة على فراغات الدوال و تطبيقاتها
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : Let X and Y be topological space, F(X,Y) the set of all functions from X into Y and C(X,Y) the set of all continuous functions in F(X,Y). We study various set-open topologies τA (AÍP(X)) on F(X,Y) and consider their comparison and equivalences in the setting of Y a general topological space. Further, we consider the parallel notion of quasi-uniform convergence topologies UA (AÍP(X)) on F(X,Y) to discuss UA -closedness and right UA -K-completeness of some subspaces of C(X,Y) and F(X,Y) in the case of Y a locally symmetric quasi-uniform space. We also obtain extension of ArzelaAscoli type theorems for the Up , Uk topologies on compactness criteria for certain subspaces of C(X,Y). These results extend and unify several known results in the most general setting. 
Supervisor : Dr. Liaqat Ali Khan 
Thesis Type : Doctorate Thesis 
Publishing Year : 1438 AH
2017 AD 
Added Date : Wednesday, October 18, 2017 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
وفاء خلف القرشيAlqurashi, Wafa KhalafResearcherDoctorate 

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 42844.pdf pdf 

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