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On The Theory of Convergence Spaces

Program: 
Science - Mathematics
Year: 
2015
Discussion Committee: 
Dr. Mohammad Abu Eideh / Supervisor
Dr. Bassam Manasrah / External Examiner
Dr. Abdallah Hakawati / Internal Examiner
Supervisors: 
Dr. Mohammad Abu Eideh / Supervisor
Authors: 
Raed Juma Hassan Shqair
Abstract: 
In this thesis we investigate some information about convergence space concepts such as closure and interior of sets , open sets, closed set, cluster point of a filter , closed adherences of convergence spaces , separation axioms, continuity, homeomorphism, compactness, connectedness spaces and obtain some results about the aforesaid concepts and provide basic ideas of convergence theory, which would enable One to tackle convergence -theoretic without much effort . In this thesis some results on the cluster set of functions in convergence spaces are obtained.
Full Text: 
PDF icon Raed Shqair.pdf
Pages Count: 
91
Status: 
Published