Partial properness and real planar maps

Applied Mathematics Letters

Volumn 9, Issue 5, 1996, Pages 99-105

  Campbell, L A ^a  

^a AEROSPACE CORPORATION   (United States)

Author keywords

Injective; Jacobian conjecture; Proper; Univalent

Indexed keywords

EID: 0010993278     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/0893-9659(96)00081-X     Document Type: Article

References (11)

1. T. Parthasarathy, On Global Univalence Theorems, Lecture Notes in Mathematics, Volume 977, Springer-Verlag, New York, (1983).
2. D. Gale and H. Nikaidô, The Jacobian matrix and global univalence of mappings, Math. Ann. 159, 81-93 (1965).
3. S. Pinchuk, A counterexample to the strong real Jacobian conjecture, Math. Zeitschrift 217, 1-4, (1994).
4. A. van den Essen, Personal communication, Email, June 1994, Provided details of a degree (10,25) case of Pinchuk's counterexample to the Real Jacobian Conjecture.
5. L.A. Campbell, Global univalence of partially proper local homeomorphisms, Appl. Math. Lett, 9 (1), 27-32 (1996).
6. L.A. Campbell, Partial properness and the Jacobian conjecture, Appl. Math. Lett. 9 (2), 5-10 (1996).
7. L.A. Campbell, Errata to "Global univalence of partially proper local homeomorphisms" and to "Partial properness and the Jacobian conjecture", Appl. Math. Lett. (this issue).
8. M. Sabatini, An extension to Hadamard global inverse function theorem in the plane, Nonlinear Analysis, Theory, Methods & Applications 20 (9), 1069-1077 (1993).
9. Nguyen Van Chau, A sufficient condition for bijectivity of polynomial maps on the real plane, Acta Mathematica Vietnamica 18 (2), 215-218 (1993).
10. L. A. Campbell, Rational Samuelson maps are univalent, Journal of Pure and Applied Algebra 92, 227-240 (1994).
11. P.A. Samuelson, Prices of factors and goods in general equilibrium, Review of Economic Studies 21, 1-20 (1953).