Article

A note on monotonically star Lindelöf spaces

Published in: Quaestiones Mathematicae
Volume 40 , issue 5 , 2017 , pages: 581–588

DOI: 10.2989/16073606.2017.1306004

Author(s): Yan-Kui Song Institute of Mathematics, School of Mathematical Science, P.R. China

Keywords: 54D20 , 54D30 , 54D40 , 54D20 , 54D30 , 54D40

Abstract

A space X is monotonically star Lindelöf if one assign to for each open cover a subspace , called a kernel, such that s() is a Lindelöf subset of X, and , and if refines then , where . In this paper, we investigate the relationship between monotonically star Lindelöf spaces and related spaces, and also study topological properties of monotonically star Lindelöf spaces.

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