List questions from inverse-function-theorem

Published on 21 Mar 2026 - 19:23

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Inverse Function Theorem in Immersions.

Published on 22 Mar 2026 - 12:59

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Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem

Published on 22 Mar 2026 - 7:19

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Diffeomorphism preserves dimension?

Published on 25 Mar 2026 - 2:57

293

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Inverse function theorem regarding solutions to a cubic equation

Published on 22 Mar 2026 - 14:16

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Explicit construction of Hamilton's counterexample for Implicit Function Theorem in Frechet Space

Published on 25 Mar 2026 - 3:07

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show $\alpha^{-1}$ is continuous if $\alpha \in C^r$ is bijective, and $D\alpha$ is nonsingular

Published on 21 Mar 2026 - 23:22

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Use the implicit function theorem to prove that $f=f^{-1}$.

Published on 22 Mar 2026 - 4:47

130

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Determinant does not vanish on an open subset.

Published on 22 Mar 2026 - 14:55

266

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James R. Munkres "Analysis on Manifolds" p.60 Theorem 7.4.

Published on 22 Mar 2026 - 14:03

110

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Piecewise smooth function , Jacobian and locally invertible?

Published on 24 Mar 2026 - 23:44

317

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Is a map with invertible differential a diffeomorphism onto its image near a boundary point?

Published on 25 Mar 2026 - 3:07

502

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Inverse function theorem consequence?

Published on 22 Mar 2026 - 8:22

676

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Inverse Function Theorem: Proving Global Invertibility.

Published on 22 Mar 2026 - 20:56

74

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How to make squaring method of finding an inverse function to be invertible?

Published on 22 Mar 2026 - 8:20

List Question

Inverse Function Theorem and Hessians Matrices

Inverse Function Theorem in Immersions.

Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem

Diffeomorphism preserves dimension?

Inverse function theorem regarding solutions to a cubic equation

Explicit construction of Hamilton's counterexample for Implicit Function Theorem in Frechet Space

show $\alpha^{-1}$ is continuous if $\alpha \in C^r$ is bijective, and $D\alpha$ is nonsingular

Use the implicit function theorem to prove that $f=f^{-1}$.

Determinant does not vanish on an open subset.

James R. Munkres "Analysis on Manifolds" p.60 Theorem 7.4.

Piecewise smooth function , Jacobian and locally invertible?

Is a map with invertible differential a diffeomorphism onto its image near a boundary point?

Inverse function theorem consequence?

Inverse Function Theorem: Proving Global Invertibility.

How to make squaring method of finding an inverse function to be invertible?

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