Forschungsjournal für Wirtschaftswissenschaften

Upper Semicontinuous Representability of Maximal Elements for Non total Preorders on Compact Spaces

Gianni Bosi, Paolo Bevilacqua and Magali Zuanon

We discuss the possibility of determining all the maximal elements of a preorder on a compact topological space by maximizing all the functions in a suitable family of upper semicontinuous orderpreserving functions.