List questions from differential-topology

Published on 14 Apr 2026 - 12:40

3.6k

Views

Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$

Published on 16 Apr 2026 - 5:34

4.4k

Views

When is a fibration a fiber bundle?

Published on 28 Mar 2026 - 20:52

28

Views

Volum of the covering of $\bar{S} \geq S$?

Published on 16 Apr 2026 - 7:44

2.7k

Views

Show that $f(C)$ has Hausdorff dimension at most zero.

Published on 14 Apr 2026 - 4:08

338

Views

Showing that $E=X/{\sim}$ (where $X=[0,1]\times\mathbb{R}^n$) is a smooth vector bundle over $S^1$

Published on 15 Apr 2026 - 16:07

960

Views

Show that $dF_x$ is surjective for all $x$

Published on 16 Apr 2026 - 15:32

211

Views

A direct application of Sard's theorem

Published on 11 Apr 2026 - 13:15

1k

Views

An exercise on Regular Value Theorem

Published on 11 Apr 2026 - 3:05

56

Views

Smooth immersion $\gamma$ from $\mathbb R \to \mathbb R^2$ such that $\operatorname{Im}\gamma=\{(x,\lvert x\rvert)\mid x\in \mathbb R\}$

Published on 16 Apr 2026 - 15:44

1.7k

Views

A Surjective Local Smooth Diffeomorphism That is Not A Covering Map

Published on 12 Apr 2026 - 3:09

136

Views

Why $\Sigma$ is minimal, if $\frac{d}{dt} |_{t=0} \mathrm{Area}(\Sigma_t)=0$?

Published on 14 Apr 2026 - 22:31

123

Views

Does $\mathrm{Mat}_{m \times n}$ have boundary?

Published on 14 Apr 2026 - 12:51

807

Views

How does one prove that local diffeomorphism is submersion?

Published on 08 Apr 2026 - 23:13

470

Views

Importance of triangulation

Published on 10 Apr 2026 - 0:26

List Question

Show that the tangent space of the diagonal is the diagonal of the product of tangent space

Prove that a standard torus is diffeomorphic to $ \mathbb S^1\times \mathbb S^1$

When is a fibration a fiber bundle?

Volum of the covering of $\bar{S} \geq S$?

Show that $f(C)$ has Hausdorff dimension at most zero.

Showing that $E=X/{\sim}$ (where $X=[0,1]\times\mathbb{R}^n$) is a smooth vector bundle over $S^1$

Show that $dF_x$ is surjective for all $x$

A direct application of Sard's theorem

An exercise on Regular Value Theorem

Smooth immersion $\gamma$ from $\mathbb R \to \mathbb R^2$ such that $\operatorname{Im}\gamma=\{(x,\lvert x\rvert)\mid x\in \mathbb R\}$

A Surjective Local Smooth Diffeomorphism That is Not A Covering Map

Why $\Sigma$ is minimal, if $\frac{d}{dt} |_{t=0} \mathrm{Area}(\Sigma_t)=0$?

Does $\mathrm{Mat}_{m \times n}$ have boundary?

How does one prove that local diffeomorphism is submersion?

Importance of triangulation

Trending Questions

Popular # Hahtags

Popular Questions