Mappings sharing a value on finite-dimensional spaces

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摘要

Sufficient conditions are given to assert that differentiable mappings and differentiable proper mappings between Rn and Rm share a value. The proof of the result is constructive and is based upon continuation methods.

论文关键词:Zero point,Continuation methods,C1-homotopy,Surjective implicit function theorem,Proper mapping,Compact mapping

论文评审过程:Available online 25 October 2001.

论文官网地址:https://doi.org/10.1016/S0096-3003(00)00023-0