الدالة gp*

Abstract

Different types of cleavability(originally named splitability ) by Skii. A (1985) introduced as following :
 A topological space is said to be cleavable over a class of spaces if for there exists a continuous mapping such that
 f -1f , ( )= .
 In this paper ,we used special functions called contra gp*-continuous function to study the concept of cleavability over these special topological spaces as called gp*-Hausdorff spaces, gp*-normal spaces and gp*connected spaces.as following :
 If is a class of topological spaces with certain properties and if is cleavable over then .also if is a class of topological spaces with certain properties and if Y is cleavable over then Y .