List questions from differential-topology

Published on 25 Mar 2026 - 6:04

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Is the Hopf fibration the only fibration with total space $S^{3}$?

Published on 25 Mar 2026 - 11:06

989

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Transverse intersection in a compact manifold

Published on 26 Mar 2026 - 10:45

553

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Constructing maps of degree $k$

Published on 26 Mar 2026 - 19:38

3k

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Are $C^{k}$ manifolds the same as $C^{\infty}$ manifolds?

Published on 25 Apr 2014 - 18:07

108

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Finding zeros of maps between manifolds with different dimensions

Published on 26 Apr 2014 - 9:17

38

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generation of sub bundle

Published on 26 Mar 2026 - 6:19

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show that the compactly supported De Rham cohomology groups $H^{p}_{DR}(\mathbb{R^n})$ are all zero for $0\leq p<n$

Published on 26 Apr 2014 - 16:09

2k

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show that $\omega$ is exact if and only if the integral of $\omega$ over every $p$-cycle is $0$

Published on 26 Mar 2026 - 14:22

75

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About embeddings of connected sums

Published on 24 Apr 2014 - 13:10

76

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express skew-commutative product of Whitney sum of vector bundles in tensor products

Published on 26 Mar 2026 - 4:36

1.9k

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smooth surjective map from lower dimensional manifold onto higher dimensional manifold?

Published on 29 Apr 2014 - 3:54

758

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Is there any embedding theorem for fibre bundles?

Published on 29 Apr 2014 - 18:16

62

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Making foliations C^1 smooth

Published on 25 Mar 2026 - 1:32

487

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Cauchy's Theorem by Differential Geometry

Published on 29 Mar 2026 - 21:50

List Question

the knot surgery - from a $6^3_2$ knot to a $3_1$ trefoil knot

Is the Hopf fibration the only fibration with total space $S^{3}$?

Transverse intersection in a compact manifold

Constructing maps of degree $k$

Are $C^{k}$ manifolds the same as $C^{\infty}$ manifolds?

Finding zeros of maps between manifolds with different dimensions

generation of sub bundle

show that the compactly supported De Rham cohomology groups $H^{p}_{DR}(\mathbb{R^n})$ are all zero for $0\leq p<n$

show that $\omega$ is exact if and only if the integral of $\omega$ over every $p$-cycle is $0$

About embeddings of connected sums

express skew-commutative product of Whitney sum of vector bundles in tensor products

smooth surjective map from lower dimensional manifold onto higher dimensional manifold?

Is there any embedding theorem for fibre bundles?

Making foliations C^1 smooth

Cauchy's Theorem by Differential Geometry

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