On investigation of topology formed from a given topology and ideal

A nonempty collection of subsets of a set X which is closed under the operations of subset and finite unions defines an ideal on X. On , a topology named ideal topology has been formed by using a given ideal f and topology ?. The set X is called an ideal topological space with the ideal topology defined on X.In this study, the relations between ideal topologies obtained by different ideals and original topologies have been examined. Moreover the proof of some theorems has been given with details.