Yeon-Woo Choi, Sodam Jung, Tae Yang Jung, Young Hwan Kim, Dong Soo Han, So-Young Bang Division of Rheumatology, Department of Internal Medicine, Hanyang University College of Medicine, Division of Gastroenterology, Department of Internal Medicine, Hanyang University College of Medicine, Department of Nuclear Medicine, Hanyang University College of Medicine, Department of Nuclear Medicine, Kangb...

We unify several extensions of the classic Stone duality due to Grätzer, Hofmann–Lawson and Jung–Sünderhauf. Specifically, we show that $$\cup $$ -bases locally compact sober spaces are dual $$\prec -distributive $$\vee -predomains, where is a relation representing containment.