On Semi--Connected Subspace

Abstract

In this paper, the concept of semi--open set will be used to define a new kind of strongly connectedness on a topological subspace namely "semi--connectedness". Moreover, we prove that semi--connectedness property is a topological property and give an example to show that semi--connectedness property is not a hereditary property. Also, we prove thate semi-α-irresolute image of a semi--connected space is a semi--connected space.