Abstract

This paper further develops the theory of operations on a topological space with the aim of producing a uniform framework for the study of generalized forms of continuity. To illustrate the utility of this approach the results obtained are used to obtain many new and known characterizations of strong $\Theta$-semi-continuity, weak continuity and almost continuity.

Keywords: Continuity, operation, unification, supratopology

MSC: 54C08

Pages:  1$-$12     

Volume  56 ,  Issue  1$-$2 ,  2004