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 language | English |
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Pages (from-to) | 1187-1201 |
Journal | Canadian Journal of Mathematics |
Volume | 54 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Jan 2002 |