无格与无点：稳定局部紧空间子基的Vickers对偶
Lattice-Free and Point-Free: Vickers Duality for Subbases of Stably Locally Compact Spaces
AI总结：
本文提出用蕴含关系编码稳定局部紧空间的一般子基，并建立范畴对偶，统一了Priestley-Stone对偶及其多种推广。
摘要：
受Wallman的经典工作以及Jung-Kegelmann-Moshier和Vickers较近期工作的启发，我们展示了如何通过特定的蕴含关系来编码稳定局部紧空间的一般子基。我们进一步将其构建为一种范畴对偶，涵盖经典的Priestley-Stone对偶及其由Shirota、De Vries、Hofmann-Lawson（在稳定情形下）、Jung-Sünderhauf、Hansoul-Poussart、Bezhanishvili-Jansana、van Gool和Bice-Starling等人对稳定局部紧空间所作的各种推广。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
