List questions from differential-topology

117

Views

Difference between $\mathbb{T}^n$ and $S^n$ and applications to dynamics (Euler angles and configuration manifolds)

Published on 03 Apr 2026 - 13:15

864

Views

Smooth diffeomorphism and $C^1$ diffeomorphism

Published on 20 Apr 2026 - 12:26

33

Views

proving a particular subset of a Riemannian manifold is closed using continuity

Published on 15 Oct 2015 - 16:41

357

Views

Faulty Argument: Chern number of U(1)-bundle over $T^2$ is zero?

Published on 13 Apr 2026 - 4:29

720

Views

Generalized Jordan-Brower separation theorem

Published on 20 Apr 2026 - 15:16

28

Views

How did the smoothness of map into R^m transfer to the smoothness of map into R

Published on 19 Oct 2015 - 9:29

192

Views

Prove that the map $F:\mathbb{R}\to S^1$, $F(t)=(\cos t,\sin t)$ is $C^\infty$.

Published on 19 Oct 2015 - 10:08

356

Views

Are PL embeddings homotopic to smooth ones?

Published on 09 Apr 2026 - 20:09

1.3k

Views

tensor product of sheaves is not a sheaf

Published on 14 Apr 2026 - 11:52

30

Views

Prove that $x\in\text{Bd}(U)\iff f(x)\in\text{Bd}(V)$

Published on 15 Apr 2026 - 13:53

1.2k

Views

de Rham Cohomology of the complex projective spaces

Published on 06 Apr 2026 - 2:20

37

Views

Is $T_{(r,0)}(TM)\cong T_rM$?

Published on 21 Oct 2015 - 1:34

1.4k

Views

De Rham cohomology group of the Klein Bottle

Published on 23 Apr 2026 - 2:22

265

Views

How does the forgetful functor from $\textsf{Man}$ to $\textsf{TopMan}$ factor under the ternary factorization system?

Published on 10 Apr 2026 - 5:31

215

Views

Laplacian of a function at points of extrema

Published on 22 Oct 2015 - 19:14

List Question

Difference between $\mathbb{T}^n$ and $S^n$ and applications to dynamics (Euler angles and configuration manifolds)

Smooth diffeomorphism and $C^1$ diffeomorphism

proving a particular subset of a Riemannian manifold is closed using continuity

Faulty Argument: Chern number of U(1)-bundle over $T^2$ is zero?

Generalized Jordan-Brower separation theorem

How did the smoothness of map into R^m transfer to the smoothness of map into R

Prove that the map $F:\mathbb{R}\to S^1$, $F(t)=(\cos t,\sin t)$ is $C^\infty$.

Are PL embeddings homotopic to smooth ones?

tensor product of sheaves is not a sheaf

Prove that $x\in\text{Bd}(U)\iff f(x)\in\text{Bd}(V)$

de Rham Cohomology of the complex projective spaces

Is $T_{(r,0)}(TM)\cong T_rM$?

De Rham cohomology group of the Klein Bottle

How does the forgetful functor from $\textsf{Man}$ to $\textsf{TopMan}$ factor under the ternary factorization system?

Laplacian of a function at points of extrema

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