论文标题

在某些恒星中 - $ k $选择原理的变体

On certain star-$K$ variant of a selection principle

论文作者

Chandra, Debraj, Alam, Nur

论文摘要

本文涉及Scheepers属性的某些星变体。我们介绍和研究Star-$ k $ -scheepers属性和相应的游戏。研究了与Star-$ k $ -scheepers属性与Scheepers游戏的其他变体相对应的游戏之间的关系。此外,在此类游戏中,玩家的获胜策略之间的关系在暗示图中也表示。我们在Alster的覆盖物和Alexandroff重复方面提出了某些观察。此外,我们在这种情况下检查了很少的保存属性。还提出了一些开放问题。

This article deals with certain star variants of the Scheepers property. We introduce and study the star-$K$-Scheepers property and corresponding game. The relationships between the game corresponding to the star-$K$-Scheepers property and other variants of the Scheepers games are investigated. Furthermore, the relation among the winning strategies of the players in such games are represented in an implication diagram. We present certain observations in terms of Alster covers and the Alexandroff duplicates. In addition, we examine few preservation like properties in this context. Some open problems are also posed.

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