On The Theory of Convergence Spaces

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.