Injectivity of non-singular planar maps with one convex component

نویسندگان

چکیده

We prove that if a non-singular planar map $\Lambda \in C^2(\mathbb R^2,\mathbb R^2)$ has convex component, then it is injective. do not assume strict convexity.

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ژورنال

عنوان ژورنال: Bulletin of the Polish Academy of Sciences. Mathematics

سال: 2022

ISSN: ['0239-7269', '1732-8985']

DOI: https://doi.org/10.4064/ba220103-28-2