论文标题
在开放良好的空间上
On open well-filtered spaces
论文作者
论文摘要
我们介绍并研究了新的$ T_0 $空间，称为开放过滤良好的空间。我们证明的主要结果包括（1）每个过滤良好的空间都是一个开放良好的空间； （2）每个核心压缩良好过滤的空间都清醒。作为直接推论，我们推断出每个核心校准过滤良好的空间都是清醒的。这提供了另一个不同，相对更直接的方法来回答贾和荣格提出的开放问题：每个核心核能滤过良好的空间是否清醒？
We introduce and study a new class of $T_0$ spaces, called open well-filtered spaces. The main results we proved include (1) every well-filtered space is an open well-filtered space; (2) every core-compact open well-filtered space is sober. As an immediate corollary, we deduce that every core-compact well-filtered space is sober. This provides another different and relatively more straight forward method to answer the open problem posed by Jia and Jung: Is every core-compact well-filtered space sober?
