Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
classification
🧮 math.AP
keywords
orientation-preservingbi-lipschitzhomeomorphismsmoothaffineapproximatedapproximationhomeomorphisms
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We show that a planar bi-Lipschitz orientation-preserving homeomorphism can be approximated in the $W^{1,p}$ norm, together with its inverse, with an orientation-preserving homeomorphism which is piecewise affine or smooth.
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