Abstract In this note we prove that the set-Menger, set-Hurewicz and set-Rothberger properties, recently introduced in [1] , are actually another view of the Menger, Hurewicz and Rothberger properties, while the weakly set-Menger and weakly set-Rothberger properties are another view of quasi-Menger and quasi-Rothberger properties [2] , respectively. We also prove that the almost set-Menger property in [1] is different from the quasi-Menger property. Problem 4.20 from [1] is addressed.

中文翻译：

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set-Menger 及相关属性备注

摘要 在这篇笔记中，我们证明了最近在 [1] 中引入的 set-Menger、set-Hurewicz 和 set-Rothberger 性质实际上是对 Menger、Hurewicz 和 Rothberger 性质的另一种看法，而弱 set-Menger 和弱集合-Rothberger 属性分别是准Menger 和准Rothberger 属性的另一种观点[2]。我们还证明了 [1] 中的几乎 set-Menger 性质与拟 Menger 性质不同。解决了 [1] 中的问题 4.20。