C1 mappings in R5 with derivative of rank at most 3 cannot be uniformly approximated by C2 mappings with derivative of rank at most 3

Author:

Goldstein Paweł,Hajłasz Piotr

Funder

National Science Centre

NSF

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference6 articles.

1. Besicovitch–Federer projection theorem for continuously differentiable mappings having constant rank of the Jacobian matrix;Gałęski;Math. Z.,2018

2. Topologically nontrivial counterexamples to Sard's theorem;Goldstein;Int. Math. Res. Not. IMRN,2018

3. Algebraic Topology;Hatcher,2002

4. The measure of the critical values of differentiable maps;Sard;Bull. Amer. Math. Soc.,1942

5. Lectures on Differential Geometry;Sternberg,1983

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Smooth approximation of mappings with rank of the derivative at most 1;Calculus of Variations and Partial Differential Equations;2023-01-20

2. Hausdorff measure of critical set for Luzin N condition;Journal of Mathematical Analysis and Applications;2021-01

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