This book describes concept of generalized continuity and generalized separation axioms in fine topological space. The collection of fine-open sets contains all semi-open, pre-open, -open, beta-open etc. sets which are used to define the generalized concepts of continuity which includes several continuities already defined. The fine-topological space is a special class of generalized topological space which is based on a topological space. The concept of continuity and homeomorphism are used in many fields such as in Quantum physics, Quantum mechanics, computer science, chemistry, physics etc.
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