List questions from differential-topology

Published on 08 Aug 2014 - 23:01

219

Views

How does $v\Phi^1=\cdots=v\Phi^k=0$ imply $v\in\ker d\Phi_p$?

Published on 09 Aug 2014 - 1:18

2.7k

Views

Inward and outward pointing tangent vectors?

Published on 09 Aug 2014 - 18:53

84

Views

Is there a rule for computing the differential of a product of maps?

Published on 09 Aug 2014 - 22:57

248

Views

When gluing maps are isotopic?

Published on 28 Mar 2026 - 0:26

883

Views

Video/audio lectures on differential topology?

Published on 25 Mar 2026 - 9:25

195

Views

Smooth embeddings of the $2$-sphere

Published on 10 Aug 2014 - 17:29

1.2k

Views

Is $\{(x,y,z,0)\in\mathbb{R}^4:x^4+y^2+z^2=1\}$ diffeomorphic to $S^2$?

Published on 10 Aug 2014 - 21:26

1.3k

Views

Why is the irrational winding of the torus not locally path connected?

Published on 11 Aug 2014 - 6:04

475

Views

Is $y^2=x(x-1)^2$ an immersed submanifold?

Published on 12 Aug 2014 - 21:24

44

Views

About $C^{0}$ being topological manifold

Published on 13 Aug 2014 - 1:13

2k

Views

Example of a submanifold $S\subseteq M$ that is an immersed submanifold is more than one way?

Published on 25 Mar 2026 - 12:20

445

Views

Show that a set is a smooth curve and find a parameterization for it.

Published on 13 Aug 2014 - 19:15

1.4k

Views

If $b$ is a regular value of $f$, $f^{-1}(-\infty,b]$ is a regular domain?

Published on 13 Aug 2014 - 20:08

58

Views

If $v\in\mathbb{R}^N\setminus\mathbb{R}^{N-1}$, what is the projection $\pi_v$ with kernel $\mathbb{R}v$?

Published on 14 Aug 2014 - 4:03

List Question

Boundary connected sum of manifolds

How does $v\Phi^1=\cdots=v\Phi^k=0$ imply $v\in\ker d\Phi_p$?

Inward and outward pointing tangent vectors?

Is there a rule for computing the differential of a product of maps?

When gluing maps are isotopic?

Video/audio lectures on differential topology?

Smooth embeddings of the $2$-sphere

Is $\{(x,y,z,0)\in\mathbb{R}^4:x^4+y^2+z^2=1\}$ diffeomorphic to $S^2$?

Why is the irrational winding of the torus not locally path connected?

Is $y^2=x(x-1)^2$ an immersed submanifold?

About $C^{0}$ being topological manifold

Example of a submanifold $S\subseteq M$ that is an immersed submanifold is more than one way?

Show that a set is a smooth curve and find a parameterization for it.

If $b$ is a regular value of $f$, $f^{-1}(-\infty,b]$ is a regular domain?

If $v\in\mathbb{R}^N\setminus\mathbb{R}^{N-1}$, what is the projection $\pi_v$ with kernel $\mathbb{R}v$?

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