Positive sets in finite linear function spaces (Q1116960)

This paper is a continuation of the work begun in [the authors, Discrete Math. 68, 221-244 (1988)] and is mainly concerned with positive sets and positive functions in a finite linear function space. The two main results characterize positive functions and minimal positive sets. Those morphisms are investigated which preserve both the cone of positive functions and minimal positive sets. Finally, these results are specialized to the case of measures on hypergraphs.