Question

Can a diffeomorphism have critical points?

score 201 · Answer 1 · 2020-01-19 10:04:10

201

Views

Can a diffeomorphism have critical points?

Published on 19 Jan 2020 - 10:04

score 36 · Answer 2 · 2020-01-20 01:22:56

36

Views

Find some diffeomorphism $A$ on $B$

Published on 20 Jan 2020 - 1:22

score 371 · Answer 3 · 2020-02-02 10:46:56

371

Views

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

Published on 02 Feb 2020 - 10:46

score 60 · Answer 4 · 2020-02-16 23:40:35

60

Views

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

Published on 16 Feb 2020 - 23:40

score 26 · Answer 5 · 2020-02-21 06:22:07

26

Views

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

Published on 21 Feb 2020 - 6:22

score 230 · Answer 6 · 2020-02-23 11:44:54

230

Views

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

Published on 23 Feb 2020 - 11:44

score 58 · Answer 7 · 2020-03-04 10:43:05

58

Views

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

Published on 04 Mar 2020 - 10:43

score 138 · Answer 8 · 2020-03-10 11:02:15

138

Views

The relationship between the tubular neighbourhoods of two diffeomorphic manifolds

Published on 10 Mar 2020 - 11:02

score 207 · Answer 9 · 2020-03-13 20:35:13

207

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 13 Mar 2020 - 20:35

score 115 · Answer 10 · 2020-03-19 15:37:56

115

Views

Homotopy equivalence in relative Diffeomorphism group

Published on 19 Mar 2020 - 15:37

score 65 · Answer 11 · 2020-03-27 00:33:55

65

Views

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

Published on 27 Mar 2020 - 0:33

score 863 · Answer 12 · 2020-04-05 19:24:55

863

Views

Diffeomorphism between circle and square clarification

Published on 05 Apr 2020 - 19:24

score 83 · Answer 13 · 2020-04-07 14:42:37

83

Views

Why is this mapping a diffeomorphism?

Published on 07 Apr 2020 - 14:42

score 101 · Answer 14 · 2020-04-08 01:40:41

101

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 08 Apr 2020 - 1:40

score 43 · Answer 15 · 2020-04-08 06:43:37

43

Views

Is $f$ a diffeomorphism

Published on 08 Apr 2020 - 6:43

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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