论文标题
在弱的Hausdorff空间和当地清醒的空间上
On Weakly Hausdorff Spaces and Locally Strongly Sober Spaces
论文作者
论文摘要
我们表明，本地清醒的空间正是在Keimel和Lawson的意义上是弱小的Hausdorff的连贯的清醒空间。这使我们能够明确描述他们的石头双重。作为另一个应用，我们表明弱的Hausdorffness是透镜和准镜头形成同构空间的足够条件，可以推广以前已知的结果。
We show that the locally strongly sober spaces are exactly the coherent sober spaces that are weakly Hausdorff in the sense of Keimel and Lawson. This allows us to describe their Stone duals explicitly. As another application, we show that weak Hausdorffness is a sufficient condition for lenses and of quasi-lenses to form homeomorphic spaces, generalizing previously known results.
