On the injectivity of C1 maps of the real plane

被引：23

作者：

Cobo, M ^{[1
]}

Gutierrez, C

Llibre, J

机构：

[1] UNESP, IBILCE, Dept Matemat, Sao Jose Do Rio Preto, SP, Brazil

[2] USP, ICMC, Sao Carlos, Brazil

[3] IMPA, Rio De Janeiro, Brazil

[4] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2002年 / 54卷 / 06期

关键词：

D O I：

10.4153/CJM-2002-045-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X: R-2 --> R-2 be a C-1 map. Denote by Spec W the set of (complex) eigenvalms of DXp when p varies in R-2. If there exists epsilon > 0 such that Spec(X) boolean AND (-epsilon, epsilon) = circle divide, then X is injective. Some applications of this result to the real Keller Jacobian conjecture are discussed.

引用

页码：1187 / 1201

页数：15

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