Sg- Continuity in Topological Spaces.

Halgwrd M. Darwesh1 & Nawroz O.Hassan2

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

DOI: https://doi.org/10.17656/jzs.10400

Abstract

The aim of the present paper, is to introduce and study a new class of functions which is

strictly placed between the class of  -continuous functions and the class of semi-continuous function, we call it the class of -continuous functions. The basic properties, characterizations and relationships with some other classes of continuity are

also obtained.

Key Words: Sg-open set, Semi-open set, g-closed set, Sg-continuous Function

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