论文标题
无晶格和无点：稳定局部紧凑空间子基础的维克斯二元性
Lattice-Free and Point-Free: Vickers Duality for Subbases of Stably Locally Compact Spaces
论文作者
论文摘要
受沃尔曼（Wallman）的经典作品以及Jung-Kegelmann-Moshier和Vickers的最新作品的启发，我们展示了如何通过某些需要的关系来编码稳定的本地紧凑空间的一般子基础。我们进一步建立了一个分类二元性，包括经典的Priestley-Stone二重性及其对稳定的局部紧凑空间的各种扩展，由Shirota，De Vries，Hofmann Lawson（在稳定的案例中），Jung-Sünderhauf，Jung-Sünderhauf，Hansoul-Poussasart，Hansoul-Poussasart，Bezhanishishvili-Jansana，van Gool和van Gool和bice star star
Inspired by classic work of Wallman and more recent work of Jung-Kegelmann-Moshier and Vickers, we show how to encode general subbases of stably locally compact spaces via certain entailment relations. We further build this up to a categorical duality encompassing the classic Priestley-Stone duality and its various extensions to stably locally compact spaces by Shirota, De Vries, Hofmann-Lawson (in the stable case), Jung-Sünderhauf, Hansoul-Poussart, Bezhanishvili-Jansana, van Gool and Bice-Starling.
