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Ahmadi Zand, M. R.; Khayyeri, R.

Spaces in which every dense subset is a \(G_\delta\). (English) Zbl 1421.54023

Quaest. Math. 39, No. 2, 251-260 (2016).
Summary: A topological space \(X\) is called a \(DG_\delta\)-space if every subset of \(X\) is a \(G_\delta\)-set in its closure. In this paper we study \(DG_\delta\)-spaces that contain subspaces in which every dense subset is open and spaces in which every subset is a \(G_\delta\). We give some new results in these classes of topological spaces.

Cited in 2 Documents

MSC:

54E52 Baire category, Baire spaces

Keywords:

almost GP-spaces; \(DG_\delta\)-spaces, nodef spaces; FI-spaces; \(\sigma\)-left-separated space; open-hereditarily irresolvable spaces; submaximal spaces; \(DG_\delta\) right topological groups; Q-set spaces
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References:

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