论文标题
对某些恒星选择原则的进一步调查
Further investigations on certain star selection principles
论文作者
论文摘要
我们考虑了Menger，Hurewicz和Rothberger Properties的某些星级版本。很少有关于这些特性的重要观察结果，这些观察尚未在较早的工作中进行研究。使用Alster Covers和Critical Cardinities $ \ Mathfrak {D} $，$ \ Mathfrak {B} $和$ {\ sf cov}（\ Mathcal {M}）$进行了各种调查。我们的研究探讨了在Alexandroff副本上的进一步分析。在此过程中，我们介绍了有关Rothberger属性的星级版本的研究，并与Menger和Hurewicz属性的星级版本进行了类似的观察。我们绘制了几个解释到迄今为止获得的星星选择原理（主要是保存）特性的表（主要是保存）。我们还提出了含义图，以解释恒星选择原理之间的相互作用。
We consider certain star versions of the Menger, Hurewicz and Rothberger properties. Few important observations concerning these properties are presented, which have not been investigated in earlier works. A variety of investigations is performed using Alster covers and critical cardinalities $\mathfrak{d}$, $\mathfrak{b}$ and ${\sf cov}(\mathcal{M})$. Our study explores further ramifications on the extent and Alexandroff duplicate. In the process we present investigations on the star versions of the Rothberger property and compare with similar prior observations of the star versions of the Menger and Hurewicz properties. We sketch few tables that interpret (mainly preservation-kind of) properties of the star selection principles obtained so far. We also present implication diagrams to explicate the interplay between the star selection principles.
