V-connected spaces

Abstract EN

In this paper, a new topological concept will be given and we called it V-connected spaces.

This concept is stronger than the concept of the connected spaces, that is, every a V-connected space is a connected space but the converse is not true.

We give a condition that make the converse is true which is the normality.

Also, we have proved that the property of being a V-connected space is a topological property but not a hereditary property.

Also, we have shown that the continuous image of a V-connected space need not be a V-connected.