Article

Spaces in which every dense subset is a G_δ

Published in: Quaestiones Mathematicae
Volume 39 , issue 2, pages: 251–260

DOI: 10.2989/16073606.2015.1068240

Author(s): M.R. Ahmadi ZandMathematics Department, , R. KhayyeriMathematics Department, ,

Keywords: Primary 54C30, 54C40;, Secondary 54C05, Primary 54C30, 54C40;, Secondary 54C05,

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Abstract

A topological space X is called a DG_δ-space if every subset of X is a G_δ-set in its closure. In this paper we study DG_δ-spaces that contains subspaces in which every dense subset is open and spaces in which every subset is a G_δ . We give some new results in these classes of topological spaces.

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