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.
Generalized Continuity and Separation Axioms in Fine-Topological Space