Level sets of differentiable functions of two variables with non-vanishing gradient

DOI10.1016/S0022-247X(02)00072-0zbMath1006.26006arXiv1109.4959OpenAlexW2045744437MaRDI QIDQ1614696

Márton Elekes

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.4959

zbMATH Keywords

Jordan curveslevel sets

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10)

Cites Work

• Level sets of functions \(f(x,y)\) with non-vanishing gradient
• The composition of derivatives has a fixed point
• Local inversion theorems without assuming continuous differentiability
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