List questions from inverse-function-theorem

Published on 08 Nov 2017 - 8:47

149

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Diffeomorphisms and their derivatives

Published on 25 Mar 2026 - 13:04

50

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Finding The Derivative Of an Inverse

Published on 16 Nov 2017 - 20:06

35

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Whether a function is globally 1-1.

Published on 05 Dec 2017 - 3:59

50

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$f(u,v)=uv+u^2v$ can be written as $u^2+v^2$ by the change of coordinate in some neighborhood of $(0,0)$.

Published on 13 Dec 2017 - 15:09

108

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What will be $\frac {\partial F_i} {\partial x_j}$?

Published on 15 Dec 2017 - 17:16

513

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Spivak Calculus on Manifolds 2-37 Question

Published on 16 Dec 2017 - 18:09

2.7k

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Conditions for Inverse Function Theorem

Published on 16 Dec 2017 - 22:17

442

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Show that if $dF_p$ is nonsingular, then $F(p)\in \text{Int}N$ : Lee's Smooth Manifolds

Published on 24 Dec 2017 - 11:43

406

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Extension of Inverse Function Theorem to Manifold with Boundary

Published on 26 Dec 2017 - 11:57

88

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Trying to understand inverse function theorem

Published on 03 Jan 2018 - 17:15

90

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If $\phi$ is a homeomorphism and both $\phi$ and $\phi^{-1}$ extend to differentiable functions, is ${\rm D}\phi(x)$ invertible?

Published on 26 Mar 2026 - 17:32

55

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Inverse theorem proof question

Published on 13 Mar 2026 - 3:26

438

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Converse of inverse function theorem

Published on 12 Mar 2026 - 21:00

303

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Can we prove that polynomial functions can always be split into bijective restrictions?

Published on 13 Mar 2026 - 1:11

List Question

Why does the fact that $1$ is not an eigenvalue imply that the following map is invertible?

Diffeomorphisms and their derivatives

Finding The Derivative Of an Inverse

Whether a function is globally 1-1.

$f(u,v)=uv+u^2v$ can be written as $u^2+v^2$ by the change of coordinate in some neighborhood of $(0,0)$.

What will be $\frac {\partial F_i} {\partial x_j}$?

Spivak Calculus on Manifolds 2-37 Question

Conditions for Inverse Function Theorem

Show that if $dF_p$ is nonsingular, then $F(p)\in \text{Int}N$ : Lee's Smooth Manifolds

Extension of Inverse Function Theorem to Manifold with Boundary

Trying to understand inverse function theorem

If $\phi$ is a homeomorphism and both $\phi$ and $\phi^{-1}$ extend to differentiable functions, is ${\rm D}\phi(x)$ invertible?

Inverse theorem proof question

Converse of inverse function theorem

Can we prove that polynomial functions can always be split into bijective restrictions?

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