On the injectivity of C 1 maps of the real plane

Milton Cobo, Carlos Gutierrez, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

15 Citations (Scopus)

Abstract

Let X : ℝ 2 → ℝ 2 be a C 1 map. Denote by Spec(X) the set of (complex) eigenvalues of DX p when p varies in ℝ 2 . 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.
Original languageEnglish
Pages (from-to)1187-1201
JournalCanadian Journal of Mathematics
Volume54
Issue number6
DOIs
Publication statusPublished - 1 Jan 2002

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