Endpoints in T0-Quasimetric Spaces: Part II

We continue our work on endpoints and startpoints in T0-quasimetric spaces. In particular we specialize some of our earlier results to the case of two-valued T0-quasimetrics, that is, essentially, to partial orders. For instance, we observe that in a complete lattice the startpoints (resp., endpoints) in our sense are exactly the completely join-irreducible (resp., completely meet-irreducible) elements. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the q-hyperconvex hull of its natural T0-quasimetric space.