Characterizations of posets via weak states

I. Chajda, M. Kolařík, H. Länger
2008 Demonstratio Mathematica  
AbstractWeak states on posets are defined which are in some analogy to states on orthomodular posets used in axiomatic quantum mechanics. It is shown how certain properties of the set of weak states characterize certain properties of the underlying poset.
doi:10.1515/dema-2013-0087 fatcat:dmzm6uqcirhqjhvr2hq5idv3ee