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Acta Mathematica Vietnamica

A REMARK ON VITUSHKIN'S COVERING

icon-email NGUYEN VAN CHAU

Abstract

It is shown that every polynomial map of the complex plane $\mathbb C^2$ with exceptional value set homeomorphic to the complex line $\mathbb C$ must have a singularity. This implies the nonexistence of Vitushkin's covering in the polynomial case.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv