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The purpose of this study is to introduce a new class of regular spaces called e*-regular spaces which is a generalization of the class of -regular spaces. Also, we investigate some basic properties and several characterizations of e*-regular and e*-normal spaces. Moreover, some functions such as e*-closed function, generalized e*-closed function, generalized e*-closed function have been defined and studied. Furthermore, we obtain some preservation theorems.

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