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Injectivity Conditions for Some Classes of Domains. I

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Abstract

New conditions are given for continuously differentiable mappings of some plane domains to be injective. In the case of a circular plane domain, these criteria coincide with well-known conditions. The method of locally homeomorphic extension is used. Bibliography: 18 titles.

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Patsevich, E.L. Injectivity Conditions for Some Classes of Domains. I. Journal of Mathematical Sciences 107, 4038–4053 (2001). https://doi.org/10.1023/A:1012488616627

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