• ### DT – Space

Majd Hamid Mahmood

Department of Mathematics, Collage of Education, Al-Mustansirya University, Baghdad, Iraq.

Abstract: In this search we define a new type of topological space which is a DT-space, Define a DT-open, DT-closed sets, DTi-space, DTd-space  and study the relation between topological space and DT-space, give examples, define dual subspace of (X, *, DTx ), DT- neighbourhood system, then generalize the concept of continuity to DT- continuity between two DT-spaces, define a DT – homeomorphism with example.

Keywords: General topology, dual topology (DT- topology), dual open set, dual continuous, dual homeomorphism.