Article

Remarks on star-C-Menger spaces

Published in: Quaestiones Mathematicae
Volume 39 , issue 4 , 2016 , pages: 479–486

DOI: 10.2989/16073606.2015.1096856

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

Keywords: 54D20 , 54C10 , 54D20 , 54C10

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Abstract

In this paper, we show that assuming ω₁ < , there exists a Tychonoﬀ star-C-Menger space having a regular-closed G_δ-subspace which is not star-C-Menger which gives a partial answer to a question of Song and Yin [12], and continue to investigate topological properties of star-C-Menger spaces.

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