Orthoposets of extreme points and quantum logics
The author investigates the set of extreme points of an interval in an ordered vector space. He proves as the main result that this set forms, under natural assumptions, a quantum logic with a rich state space. He also shows that in the result by \textit{G. T. Rüttimann} [Rep. Math. Phys. 21, 213-222 (1985; Zbl 0591.03048)], the orthomodularity condition can be relaxed.
extreme points of order-interval in a vector space
scientific article; zbMATH DE number 4170905