Article

Spaces in which every dense subset is a G_δ

Published in: Quaestiones Mathematicae
Volume 39 , issue 2 , 2016 , pages: 251–260

DOI: 10.2989/16073606.2015.1068240

Author(s): M.R. Ahmadi Zand Mathematics Department, , R. Khayyeri Mathematics Department,

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

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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