Abstract
The aim of this paper is to introduce some new classes of sets and some new classes of continuity namely e*-open sets, (D, S)-sets, (DS, E)-sets, (D, S)*-sets, (DS, E)*-sets, e*-continuity, (D, S)*-continuity and (DS, E)*-continuity. Properties of these new concepts are investigated. Moreover, some new decompositions of continuity are provided. 2000 Mathematics Subject Classification. Primary: 54C08, 54C10. .
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