论文标题
在Scheepers属性的某些星级版本上
On certain star versions of the Scheepers property
论文作者
论文摘要
已经引入了Scheepers物业的明星版本，即星际赛车，强烈的星际赛车手和新的星际车展。我们探讨了有关关键基础性的进一步影响。在处理Isbell-Mrówka空间，Niemytzki Plane和Alexandroff Replicates时，获得了很多有趣的观察结果。诸如单调正常的，可局部可计数的细胞（此处介绍）之类的特性在我们的研究中起着重要作用。我们研究了与Scheepers属性的古典和明星变体相对应的游戏，这些游戏尚未在先前的工作中进行调查。还提出了一些开放问题。
The star versions of the Scheepers property, namely star-Scheepers, strongly star-Scheepers and new star-Scheepers property have been introduced. We explore further ramifications concerning critical cardinalities. Quite a few interesting observations are obtained while dealing with the Isbell-Mrówka spaces, Niemytzki plane and Alexandroff duplicates. The properties like monotonically normal, locally countable cellularity (which is introduced here) play an important role in our investigation. We study games corresponding to the classical and star variants of the Scheepers property which have not been investigated in prior works. Some open problems are also posed.
