Stone duality for preordered topological spaces I. Bonsangue-Jacobs-Kok duality for preorders

We know a lot of Stone-like dualities, and I would like to start exploring a form of Stone duality for preordered topological spaces. We start with a simple problem this month: duality for preordered sets; hence, no topology (yet) in addition to the preordering. This was due to M. Bonsangue, B. Jacobs and J. Kok in 1995. Read the full post.