On the injectivity of C1 maps of the real plane

Cobo, Milton; Gutierrez, Carlos; Llibre, Jaume

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/67026

Title:

On the injectivity of C1 maps of the real plane

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade de São Paulo (USP)
Universitat Autonoma de Barcelona

ISSN:

0008-414X

Abstract:

Let X : ℝ2 → ℝ2 be a C1 map. Denote by Spec(X) the set of (complex) eigenvalues of DXp when p varies in ℝ2. If there exists ε > 0 such that Spec(X) ∩ (-ε, ε) = ∅, then X is injective. Some applications of this result to the real Keller Jacobian conjecture are discussed.

Issue Date:

1-Dec-2002

Citation:

Canadian Journal of Mathematics, v. 54, n. 6, p. 1187-1201, 2002.

Time Duration:

1187-1201

Source:

http://cms.math.ca/10.4153/CJM-2002-045-0

URI:

Access Rights:

Acesso aberto

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/67026

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