On Global Univalence Theorems

Parthasarathy, T.

On Global Univalence Theorems [electronic resource] / by T. Parthasarathy. - X, 110 p. online resource. - Lecture Notes in Mathematics, 977 0075-8434 ; . - Lecture Notes in Mathematics, 977 .

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.

9783540394624

10.1007/BFb0065566 doi


Mathematics.
Global analysis (Mathematics).
Real Functions.
Analysis.

QA331.5

515.8
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