Connected ideal space and continuous function types

Abstract

In this search we will study
1) The continuous image of *-connected ideal space.
2) The S-connected ideal space.
3) The S*-connected ideal space.
4) The S**-connected ideal space.
And we get this result: the (continuous, the S*-continuous) image of *-
connected ideal space is connected space.
But the (S-continuous, S**- continuous) image of *- connected ideal
space is not necessary be connected space