Some observations on a clopen version of the Rothberger property

In this paper, we prove that a clopen version $S_1(\mathcal{C}_\mathcal{O}, \mathcal{C}_\mathcal{O})$ of the Rothberger property and Borel strong measure zeroness are independent. For a zero-dimensional metric space $(X,d)$, $X$ satisfies $S_1(\mathcal{C}_\mathcal{O}, \mathcal{C}_\mathcal{O})$ if,...

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Bibliographic Details
Main Authors: Manoj Bhardwaj, Alexander V. Osipov
Format: Article
Language:English
Published: Universidad de La Frontera 2023-08-01
Series:Cubo
Subjects:
Online Access:https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3417/2296