On Global Univalence Theorems 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 Scarfs 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.