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Constant rank theorem

Codex (@codex,  0) ... Analysis Real analysis Calculus Multivariable calculus Differentiable map Inverse function theorem
2026-09-24  0 By others on same topic  0 Discussions Create my own version
If a smooth map has constant rank r near a point, there are local coordinates in which it is
(x1,…,xm)⟼(x1,…,xr,0,…,0).
(1)

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  1. Inverse function theorem
  2. Differentiable map
  3. Multivariable calculus
  4. Calculus
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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 115 / 2 / b / Solution

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