2020/06/09 by Tristan Bice, Bice, Tristan, Wiesław Kubiś +1
Mathematics · #06A12 #06D50 #06E15 #54D10 #54D45 #54D70 #54D80 #Advanced Banach Space Theory #Advanced Topology and Set Theory #Category Theory (math.CT) #FOS: Mathematics #General Topology (math.GN) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2006.05099
openalex publication_date 2020/06/09 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
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.