A Homeomorphic Image of the Space of Quasi- Continuous Functions by

Abstract

In this present work, the concept of Quasi- continuity is defined on a closed and bounded interval .   It is established that the set of all such Quasi- continuous functions forms a commutative Banach algebra under the supremum norm.  Properties of some maps on the space of Quasi-continuous functions are established.  An isometrical isomorphic image of the space of Quasi-continuous functions is investigated.  The notion of sequential quasi- continuity is introduced.