Bretto, Alan and Li Marzi, Enzo Maria and Rania, Francesco (1998) Combinatorial Convexity and Mathematical Morphology. Accademia Peloritana dei Pericolanti, Classe di Scienze FF. MM. NN., 76-77. pp. 163-168.
Poset geometries are characterized as convex geometries verifying a given property. These geometries are basic structures in combinatorial convexity, because any convex geometry can be generated from them. In this note, we will give a necessary and sufficient condition on the closure operator which leads us to a new characterization of poset geometry.
Actions (login required)