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A NEW TOPOLOGY FROM AN OLD ONE

  • Darwesh, Halgwrd Mohammed (Department of Mathematics School of Science Faculty of Science and Education Science University of Sulaimani)
  • Published : 2012.08.15

Abstract

In the present paper we construct and introduce a new topology from an old one which are independent each of the other. The members of this topology are called ${\omega}_{\delta}$-open sets. We investigate some basic properties and their relationships with some other types of sets. Furthermore, a new characterization of regular and semi-regular spaces are obtained. Also, we introduce and study some new types of continuity, and we obtain decompositions of some types of continuity.

Keywords

References

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