On the Surjectivity of Smooth Maps into Euclidean Spaces and the Fundamental Theorem of Algebra

DOI10.1080/00029890.2018.1521241zbMath1402.30006arXiv1706.07281OpenAlexW2962954725MaRDI QIDQ4559673

Shibo Liu, Peng Liu

Publication date: 4 December 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07281

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Critical points and critical submanifolds in differential topology (57R70) Differentiable maps on manifolds (58C25)

Related Items (2)

Critical points and surjectivity of smooth maps ⋮ Open and surjective mapping theorems for differentiable maps with critical points

Cites Work

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• Fundamental Theorem of Algebra -- Yet Another Proof
• The Fundamental Theorem of Algebra via the Fourier Inversion Formula

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