New properties of gb*- closed map and gb*-open map in topological spaces

In this paper, we some of their properties of semi-open, \(\alpha\)-open, pre-open, \(\alpha\)-open sets to induced topology, we compare with the semi-open or ( b-open, pre-open, \(\alpha\)-open ) set if for the topological space and the topological space induced, finally we inntroduce a new properties for gb*-closed maps and gb*-open map in topological space induced