List questions from differential-topology

Published on 25 Mar 2026 - 7:47

909

Views

Tangent space of topological manifold

Published on 10 Aug 2018 - 15:30

140

Views

$f:\mathbb{R}^4 \to \mathbb{R}$ is a Constant when $Xf = Yf = 0$ for Vector Fields $X,Y$

Published on 10 Aug 2018 - 22:27

64

Views

How to pair the Arf with Stiefel-Whitney class?

Published on 25 Mar 2026 - 11:05

127

Views

Using Averaging and Deck Transformations to Compute de Rham Cohomologies of the $n$-Torus

Published on 25 Mar 2026 - 14:34

284

Views

$\epsilon$ function of a tubular neighborhood

Published on 25 Mar 2026 - 6:11

55

Views

Find $f$ for which there is a vector field $W$ with $\operatorname{curl}W=(y,x,f(x,y,z))$

Published on 11 Aug 2018 - 21:08

1.1k

Views

On line integrals of $\frac{xdy-ydx}{x^2 +y^2}$

Published on 25 Mar 2026 - 23:38

128

Views

Virtual vector bundles, Grothendieck group, and a pair of bundles

Published on 25 Mar 2026 - 9:28

75

Views

Curl of a vector field with respect to a closed curve

Published on 12 Mar 2026 - 3:53

255

Views

Applications of Sard's theorem?

Published on 12 Aug 2018 - 16:23

79

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What does the notation $f'(\mathbf{x_0})(\mathbf{x})$ and $h'(0,0)(0,\mathbf{w})$ mean in differential geometry book (Rudolph and Schmidt)?

Published on 12 Aug 2018 - 19:09

66

Views

Does $\mathbb{CP}^2$ admit an exotic smooth structure?

Published on 13 Aug 2018 - 7:07

2k

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Topologically, is there a definition of differentiability that is dependent on the underlying topology, similar to continuity?

Published on 13 Aug 2018 - 7:33

121

Views

Rigorous version of "spatial infinity is a point and not a sphere"

Published on 25 Mar 2026 - 22:23

List Question

$df_x$ maps $N(S.X)$ isomorphically

Tangent space of topological manifold

$f:\mathbb{R}^4 \to \mathbb{R}$ is a Constant when $Xf = Yf = 0$ for Vector Fields $X,Y$

How to pair the Arf with Stiefel-Whitney class?

Using Averaging and Deck Transformations to Compute de Rham Cohomologies of the $n$-Torus

$\epsilon$ function of a tubular neighborhood

Find $f$ for which there is a vector field $W$ with $\operatorname{curl}W=(y,x,f(x,y,z))$

On line integrals of $\frac{xdy-ydx}{x^2 +y^2}$

Virtual vector bundles, Grothendieck group, and a pair of bundles

Curl of a vector field with respect to a closed curve

Applications of Sard's theorem?

What does the notation $f'(\mathbf{x_0})(\mathbf{x})$ and $h'(0,0)(0,\mathbf{w})$ mean in differential geometry book (Rudolph and Schmidt)?

Does $\mathbb{CP}^2$ admit an exotic smooth structure?

Topologically, is there a definition of differentiability that is dependent on the underlying topology, similar to continuity?

Rigorous version of "spatial infinity is a point and not a sphere"

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