List questions from differential-topology

Published on 16 Apr 2026 - 2:58

128

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Find the critical points of this function

Published on 16 Apr 2026 - 16:25

251

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show a map of complex projective space is lefschetz

Published on 13 Apr 2026 - 15:24

2.1k

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Is the closure of an open bounded convex set already a ball?

Published on 13 Apr 2026 - 22:25

1.3k

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Turning higher spheres inside out

Published on 09 Apr 2026 - 10:05

358

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Natural diffeomorphism between $T\mathbb{S}^n\times \mathbb{R}$ and $\mathbb{S}^n\times\mathbb{R}^{n+1}$

Published on 15 Apr 2026 - 19:30

802

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Every point in a k-manifold has a neighborhood diffeomorphic to $\Bbb{R}^k$

Published on 15 Apr 2026 - 3:49

4.1k

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Restriction of smooth functions.

Published on 11 Apr 2026 - 5:19

110

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Show: $W:=\left\{(x_1,x_2,x_3)\in\mathbb{R}^3:-1<x_i<1, i=1,2,3\right\}$ is a 3-dim. submanifold of $\mathbb{R}^3$

Published on 16 Apr 2026 - 14:08

265

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Does the boundary of a handle decomposition obtain a handle decomposition?

Published on 25 Mar 2026 - 10:55

229

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Signature form of $S^2 \times S^2$

Published on 15 Apr 2026 - 16:08

5.8k

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Understanding the definition and meaning of cotangent space

Published on 10 Apr 2026 - 4:25

185

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Smoothness does not depend on the choice of atlases

Published on 09 Apr 2026 - 13:42

2k

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Is a connected sum of manifolds uniquely defined?

Published on 08 Apr 2026 - 19:05

745

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If a smooth manifold X is covered by an odd sphere, then X is orientable.

Published on 14 Apr 2026 - 10:39

List Question

Quotients of $S^{2n+1}$

Find the critical points of this function

show a map of complex projective space is lefschetz

Is the closure of an open bounded convex set already a ball?

Turning higher spheres inside out

Natural diffeomorphism between $T\mathbb{S}^n\times \mathbb{R}$ and $\mathbb{S}^n\times\mathbb{R}^{n+1}$

Every point in a k-manifold has a neighborhood diffeomorphic to $\Bbb{R}^k$

Restriction of smooth functions.

Show: $W:=\left\{(x_1,x_2,x_3)\in\mathbb{R}^3:-1<x_i<1, i=1,2,3\right\}$ is a 3-dim. submanifold of $\mathbb{R}^3$

Does the boundary of a handle decomposition obtain a handle decomposition?

Signature form of $S^2 \times S^2$

Understanding the definition and meaning of cotangent space

Smoothness does not depend on the choice of atlases

Is a connected sum of manifolds uniquely defined?

If a smooth manifold X is covered by an odd sphere, then X is orientable.

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