On the Alster, Menger and D-type covering properties

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Osipov A., ÖZÇAĞ S.

QUAESTIONES MATHEMATICAE, 2019 (SCI-Expanded)

• Publication Type: Article / Article
• Volume:
• Publication Date: 2019
• Doi Number: 10.2989/16073606.2019.1692951
• Journal Name: QUAESTIONES MATHEMATICAE
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Hacettepe University Affiliated: Yes

Abstract

In this paper we give new characterizations for almost Menger and weakly Menger spaces by neighborhood assignments and define a natural weakening of almost D-spaces and weakly D-spaces. We discuss the relationships among the properties "D-type", "Menger", "Alster", and the weak versions of these properties in Lindelof spaces.