I've come across a set of slides by Guram Bezhanishvili where he claims the category of compact hausdorff spaces is related by duality to de Vries algebras. What are they?
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1$\begingroup$ Google finds staff.science.uva.nl/~gfontain/tacl09-abstracts/… which contains a definition. $\endgroup$– Qiaochu YuanCommented Jul 12, 2012 at 0:10
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See his article "Stone duality and Gleason covers through de Vries duality" in Topology and its Applications 157:1064--1080, 2010, Definition 3.2.
answered Jul 12, 2012 at 10:01