Foliations and global injectivity in R-n

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Author(s):	Maquera, Carlos ^[1] ; Venato-Santos, Jean ^[2] Total Authors: 2
Affiliation:	^[1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil ^[2] Univ Fed Uberlandia, Fac Matemat, BR-38408100 Uberlandia, MG - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 44, n. 2, p. 273-284, JUN 2013.
Web of Science Citations:	1
Abstract
Let F: a{''}e (n) -> a{''}e (n) be a polynomial local diffeomorphism and let S (F) denote the set of not proper points of F. The Jelonek's real Jacobian Conjecture states that if codim(S (F) ) a parts per thousand yen 2, then F is bijective. We prove a weak version of such conjecture establishing the sufficiency of a necessary condition for the bijectivity of F. (AU)

FAPESP's process:	09/17493-4 - Dynamical systems defined by actions of Rk
Grantee:	Carlos Alberto Maquera Apaza
Support Opportunities:	Regular Research Grants