Question

Can a diffeomorphism have critical points?

score 203 · Answer 1 · 2026-05-10 23:34:24

203

Views

Can a diffeomorphism have critical points?

Published on 10 May 2026 - 23:34

score 37 · Answer 2 · 2026-03-25 14:02:22

37

Views

Find some diffeomorphism $A$ on $B$

Published on 25 Mar 2026 - 14:02

score 372 · Answer 3 · 2026-03-25 14:06:25

372

Views

Proving a triangle is not a manifold and it's not diffeomorphic to a circle.

Published on 25 Mar 2026 - 14:06

score 61 · Answer 4 · 2026-03-25 14:03:18

61

Views

Prove that $f(\mathbb{R}^2)=\mathbb{R}^2$

Published on 25 Mar 2026 - 14:03

score 27 · Answer 5 · 2026-03-25 14:09:10

27

Views

When is a multi-variable function a one-to-one?

Published on 25 Mar 2026 - 14:09

score 231 · Answer 6 · 2026-03-25 14:08:59

231

Views

On the statement of the characteristic property of surjective smooth submersion in John Lee's Smooth Manifolds

Published on 25 Mar 2026 - 14:08

score 59 · Answer 7 · 2026-03-25 14:07:37

59

Views

How to prove $\mathbb R/(\mathbb Z+\alpha \mathbb Z) \simeq \mathbb T^2/\Delta_\alpha$, the irrational torus, in diffeology?

Published on 25 Mar 2026 - 14:07

score 140 · Answer 8 · 2026-05-10 18:45:06

140

Views

The relationship between the tubular neighbourhoods of two diffeomorphic manifolds

Published on 10 May 2026 - 18:45

score 210 · Answer 9 · 2026-04-17 14:20:37

210

Views

Let $\phi: O_1 \subset \mathbb{R}^3 \to O_2\subset \mathbb{R}^3$ be a diffeomorphism and $S$ be a surface. Then $\phi:S \to \phi(S)$ is a diffeo.

Published on 17 Apr 2026 - 14:20

score 116 · Answer 10 · 2026-03-25 14:04:32

116

Views

Homotopy equivalence in relative Diffeomorphism group

Published on 25 Mar 2026 - 14:04

score 67 · Answer 11 · 2026-05-10 20:50:33

67

Views

Showing that a function in $\Bbb{R}^{2}$ is a diffeomorphism.

Published on 10 May 2026 - 20:50

score 864 · Answer 12 · 2026-03-25 14:01:20

864

Views

Diffeomorphism between circle and square clarification

Published on 25 Mar 2026 - 14:01

score 84 · Answer 13 · 2026-03-25 14:02:01

84

Views

Why is this mapping a diffeomorphism?

Published on 25 Mar 2026 - 14:02

score 102 · Answer 14 · 2026-03-25 14:08:54

102

Views

$f:U\rightarrow V$ a $C^2$ diffeo, $\forall\, a\in U, \exists r>0$ such that $f\left(B_{a}(\epsilon)\right)$ is convex $\forall\epsilon\leq r$

Published on 25 Mar 2026 - 14:08

score 44 · Answer 15 · 2026-03-25 14:02:22

44

Views

Is $f$ a diffeomorphism

Published on 25 Mar 2026 - 14:02

List Question

Can a diffeomorphism have critical points?

Find some diffeomorphism $A$ on $B$

Proving a triangle is not a manifold and it's not diffeomorphic to a circle.

Prove that $f(\mathbb{R}^2)=\mathbb{R}^2$

When is a multi-variable function a one-to-one?

On the statement of the characteristic property of surjective smooth submersion in John Lee's Smooth Manifolds

How to prove $\mathbb R/(\mathbb Z+\alpha \mathbb Z) \simeq \mathbb T^2/\Delta_\alpha$, the irrational torus, in diffeology?

The relationship between the tubular neighbourhoods of two diffeomorphic manifolds

Let $\phi: O_1 \subset \mathbb{R}^3 \to O_2\subset \mathbb{R}^3$ be a diffeomorphism and $S$ be a surface. Then $\phi:S \to \phi(S)$ is a diffeo.

Homotopy equivalence in relative Diffeomorphism group

Showing that a function in $\Bbb{R}^{2}$ is a diffeomorphism.

Diffeomorphism between circle and square clarification

Why is this mapping a diffeomorphism?

$f:U\rightarrow V$ a $C^2$ diffeo, $\forall\, a\in U, \exists r>0$ such that $f\left(B_{a}(\epsilon)\right)$ is convex $\forall\epsilon\leq r$

Is $f$ a diffeomorphism

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