List questions from inverse-function-theorem

Published on 22 Mar 2026 - 5:23

150

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Relaxing continuous differentiability in the inverse function theorem

Published on 23 Mar 2026 - 13:21

268

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Strong differentiability of the homeomorphism inverse. Inverse Function Theorem.

Published on 22 Mar 2026 - 16:39

74

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If there is a diffeomorphism from an open subset of $\mathbb R^d$ onto a submanifold $M$ of $\mathbb R^d$, then $M$ is open

Published on 22 Mar 2026 - 20:31

55

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How do we need to apply the inverse function theorem here? (diffeomorphically mapping an open subset of a submanifold)

Published on 26 Mar 2026 - 20:39

345

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Correspondence between Riemannian metrics and Euclidean embeddings

Published on 22 Mar 2026 - 18:44

35

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property of functions satisfying the inverse function theorem

Published on 23 Mar 2026 - 7:23

133

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How to find the set of points at which a multivariable function is locally invertible?

Published on 22 Mar 2026 - 0:05

109

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Prove that $|f(x)-f(y)| \geq k|x-y|$

Published on 22 Mar 2026 - 16:34

101

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Showing that $\det(J_f(x))\det(J_{f^{-1}}(x))=1$

Published on 23 Mar 2026 - 0:23

438

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How to find that derivative of this function is invertible

Published on 22 Mar 2026 - 16:21

170

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Identity up to isomorphism treated as identity in proof

Published on 23 Mar 2026 - 1:11

181

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Serge Lang's projection

Published on 23 Mar 2026 - 0:22

529

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Inverse function theorem and local diffeomorphisms

Published on 26 Mar 2026 - 22:19

17

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If $[Df_x]^{N_x}=A_x\begin{bmatrix}2&1\\5&5\\ \end{bmatrix}A_x^{-1}$, then $f$ has a local inverse for any point in $\Bbb R^2$.

Published on 23 Mar 2026 - 11:39

List Question

How to find range of a function $f : \mathbb{R}^2\to \mathbb{R}^2 $

Relaxing continuous differentiability in the inverse function theorem

Strong differentiability of the homeomorphism inverse. Inverse Function Theorem.

If there is a diffeomorphism from an open subset of $\mathbb R^d$ onto a submanifold $M$ of $\mathbb R^d$, then $M$ is open

How do we need to apply the inverse function theorem here? (diffeomorphically mapping an open subset of a submanifold)

Correspondence between Riemannian metrics and Euclidean embeddings

property of functions satisfying the inverse function theorem

How to find the set of points at which a multivariable function is locally invertible?

Prove that $|f(x)-f(y)| \geq k|x-y|$

Showing that $\det(J_f(x))\det(J_{f^{-1}}(x))=1$

How to find that derivative of this function is invertible

Identity up to isomorphism treated as identity in proof

Serge Lang's projection

Inverse function theorem and local diffeomorphisms

If $[Df_x]^{N_x}=A_x\begin{bmatrix}2&1\\5&5\\ \end{bmatrix}A_x^{-1}$, then $f$ has a local inverse for any point in $\Bbb R^2$.

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