Halgwrd M. Darwesh1, Nawroz O. Hessean2

1 Mathematics Department, School of Science , Faculty of Science and Science Education, University of Sulaimani

2 Kurdistan Institution for Strategic students and scientific Research, Department of Information and Technology

**Abstract**

In the present paper, we introduce a new class of functions in between topological

spaces, namely the class of almost -continuous functions. Characterizations and

basic properties of this class of functions are obtained as well as the relationships of it

with some other classes of functions are studied.

**Key Words:**Sg-open set, semi-open set, g-closed set, Sg-continuous function. almostSg-continuous Function

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