Question

Jacobian, inverse function theorem and continuously differentiable functions

score 90 · Answer 1 · 2023-06-28 17:30:23

90

Views

Jacobian, inverse function theorem and continuously differentiable functions

Published on 28 Jun 2023 - 17:30

score 155 · Answer 2 · 2026-03-25 21:46:24

155

Views

Guillemin & Pollack Exercise 1.8.14 (Generalized inverse function theorem)

Published on 25 Mar 2026 - 21:46

score 63 · Answer 3 · 2023-07-04 13:50:08

63

Views

Proving a set is a regular surface using inverse function theorem

Published on 04 Jul 2023 - 13:50

score 38 · Answer 4 · 2023-07-11 05:56:32

38

Views

Implicit function theorem by only one partial derivative is continuous.

Published on 11 Jul 2023 - 5:56

score 107 · Answer 5 · 2023-07-17 08:23:59

107

Views

Proof verification: $dF_p$ nonsingular, then $F(p)\in \textrm{Int}N$

Published on 17 Jul 2023 - 8:23

score 36 · Answer 6 · 2023-07-28 22:18:29

36

Views

Is every $C^k$ embedding the restriction of a diffeomorphism on a subspace?

Published on 28 Jul 2023 - 22:18

score 138 · Answer 7 · 2026-02-23 10:22:03

138

Views

Show that $F(t) = (\cos t, \sin t)$ is locally one-to-one but not globally one-to-one.

Published on 23 Feb 2026 - 10:22

score 38 · Answer 8 · 2023-08-21 22:35:32

38

Views

Proof that locally defining function implies submanifold of codimension $m-n$.

Published on 21 Aug 2023 - 22:35

score 41 · Answer 9 · 2026-03-25 23:15:55

41

Views

Manifolds - Inverse Function Theorem Form?

Published on 25 Mar 2026 - 23:15

score 78 · Answer 10 · 2023-09-20 13:05:14

78

Views

Is it possible to find the inverse of the following function explicitly?

Published on 20 Sep 2023 - 13:05

score 47 · Answer 11 · 2026-02-24 00:26:51

47

Views

On the PDF of a function of a random variable

Published on 24 Feb 2026 - 0:26

score 85 · Answer 12 · 2023-10-08 19:42:13

85

Views

Inverse function theorem Proof in Rudin Book (Openness of V)

Published on 08 Oct 2023 - 19:42

score 53 · Answer 13 · 2026-03-26 00:56:34

53

Views

Last step in the proof of $ G(F):=\{(p, F(p); p \in M\}$ is an embedded submanifold of $M \times N$ of dimension $m$, $F:M\rightarrow N$ smooth

Published on 26 Mar 2026 - 0:56

score 30 · Answer 14 · 2023-10-31 17:58:55

30

Views

Locally invertible function is onto if its preimage on a compact subset is compact.

Published on 31 Oct 2023 - 17:58

score 52 · Answer 15 · 2023-11-12 17:00:09

52

Views

Help with proof of Inverse-Function Theorem in $ \mathbb R ^ n $

Published on 12 Nov 2023 - 17:00

List Question

Jacobian, inverse function theorem and continuously differentiable functions

Guillemin & Pollack Exercise 1.8.14 (Generalized inverse function theorem)

Proving a set is a regular surface using inverse function theorem

Implicit function theorem by only one partial derivative is continuous.

Proof verification: $dF_p$ nonsingular, then $F(p)\in \textrm{Int}N$

Is every $C^k$ embedding the restriction of a diffeomorphism on a subspace?

Show that $F(t) = (\cos t, \sin t)$ is locally one-to-one but not globally one-to-one.

Proof that locally defining function implies submanifold of codimension $m-n$.

Manifolds - Inverse Function Theorem Form?

Is it possible to find the inverse of the following function explicitly?

On the PDF of a function of a random variable

Inverse function theorem Proof in Rudin Book (Openness of V)

Last step in the proof of $ G(F):=\{(p, F(p); p \in M\}$ is an embedded submanifold of $M \times N$ of dimension $m$, $F:M\rightarrow N$ smooth

Locally invertible function is onto if its preimage on a compact subset is compact.

Help with proof of Inverse-Function Theorem in $ \mathbb R ^ n $

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