On Global Univalence Theorems

Inhaltsverzeichnis

• 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.