论文标题
关于开放良好过滤空间的进一步研究
Further studies on open well-filtered spaces
论文作者
论文摘要
Shen，XI，Xu和Zhao引入了开放良好的过滤空间，以回答问题是否清醒是否清醒。在当前的论文中，我们探讨了开放良好过滤空间的进一步性能。主要结果之一是，如果一个空间开放良好过滤，那么它的上空也是如此（所有非空的饱和紧凑型紧凑型子集的集合，配备了上层越野拓扑）。还研究了开放良好滤光空间上的其他一些特性。
The open well-filtered spaces were introduced by Shen, Xi, Xu and Zhao to answer the problem whether every core-compact well-filtered space is sober. In the current paper we explore further properties of open well-filtered spaces. One of the main results is that if a space is open well-filtered, then so is its upper space (the set of all nonempty saturated compact subsets equipped with the upper Vietoris topology). Some other properties on open well-filtered spaces are also studied.
