On semi-α-connected subspace

الملخص EN

In this paper, the concept of semi-a-open set will be used to define a new kind of strongly connectedness on a topological subspace namely "semi-a-connectedness".

Moreover, we prove that semi-a-connectedness property is a topological property and give an example to show that semi-a-connectedness property is not a hereditary property.

Also, we prove that semi-a-irresolute image of a semi-a-connected space is a semi-a-connected space.