List questions from differential-topology

Published on 11 Apr 2026 - 1:12

227

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Possible conditions on subsets of Euclidean space to be embedded submanifolds

Published on 17 Apr 2026 - 15:55

1.3k

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Smooth maps on subsets of $\mathbb R^n$

Published on 15 Apr 2026 - 9:16

57

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Let $\gamma:\mathbb{R}\to\mathbb{R}^n$. Suppose $\gamma$ is periodic function with period 1.

Published on 16 Apr 2026 - 4:58

395

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Question on the Thom class of an oriented rank 2 vector bundle.

Published on 17 Apr 2026 - 12:22

334

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Smooth vector field on $S^3$

Published on 16 Apr 2026 - 2:21

51

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How to prove $f(x,y) = (\frac{x}{\sqrt{1+x^2+y^2}},\frac{y}{\sqrt{1+x^2+y^2}})$ is smooth?

Published on 16 Apr 2026 - 10:29

71

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Is the manifold obtained by gluing along circles unique?

Published on 14 Apr 2026 - 6:41

890

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Orientability and trivialization of the tangent bundle over the 1-skeleton

Published on 17 Apr 2026 - 0:24

432

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Which continuous functions are polynomials?

Published on 09 Apr 2026 - 18:36

5.2k

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Precise connection between Poincare Duality and Serre Duality

Published on 13 Apr 2026 - 10:22

2.4k

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Converse To Quotient Manifold Theorem [Exercise in Lee Smooth Manifolds]

Published on 14 Apr 2026 - 6:58

1.5k

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Parallel transport of a vector along two distinct curves

Published on 10 Apr 2026 - 1:46

463

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Which smooth 1-manifolds can be represented by a single smooth parametrization?

Published on 13 Apr 2026 - 12:30

417

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computing intersection number via differential forms

Published on 17 Apr 2026 - 0:25

List Question

Induced Topology via Injective Map

Possible conditions on subsets of Euclidean space to be embedded submanifolds

Smooth maps on subsets of $\mathbb R^n$

Let $\gamma:\mathbb{R}\to\mathbb{R}^n$. Suppose $\gamma$ is periodic function with period 1.

Question on the Thom class of an oriented rank 2 vector bundle.

Smooth vector field on $S^3$

How to prove $f(x,y) = (\frac{x}{\sqrt{1+x^2+y^2}},\frac{y}{\sqrt{1+x^2+y^2}})$ is smooth?

Is the manifold obtained by gluing along circles unique?

Orientability and trivialization of the tangent bundle over the 1-skeleton

Which continuous functions are polynomials?

Precise connection between Poincare Duality and Serre Duality

Converse To Quotient Manifold Theorem [Exercise in Lee Smooth Manifolds]

Parallel transport of a vector along two distinct curves

Which smooth 1-manifolds can be represented by a single smooth parametrization?

computing intersection number via differential forms

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