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<p>We present a non-injective polynomial map from ℝ<sup>2</sup> to ℝ<sup>2</sup> with Jacobian determinant bounded away from 0.</p>

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A counterexample to a folk real Jacobian conjecture

  • 期刊论文

  • 发表日期：

    2025年2月3日

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  • Francisco Braun,
  • Filipe Fernandes

摘要

We present a non-injective polynomial map from ℝ2 to ℝ2 with Jacobian determinant bounded away from 0.