Preliminaries and statement of the problem.- P-matrices and N-matrices.- Fundamental global univalence results of Gale-Nikaido-Inada.- Global homeomorphisms between finite dimensional spaces.- Scarf's conjecture and its validity.- Global univalent results in R2 and R3.- On the global stability of an autonomous system on the plane.- Univalence for mappings with Leontief type Jacobians.- Assorted applications of univalence mapping results.- Further generalizations and remarks.