List questions from differential-topology

Published on 25 Mar 2026 - 9:25

804

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Confusion about the definition of a parameterization of a smooth manifold

Published on 24 Mar 2026 - 23:46

636

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Cobordism and Boundary Theorem (Guillemin-Pollack)

Published on 17 Mar 2026 - 20:29

818

Views

Show that a complex polynomial has a root inside a disk

Published on 17 Mar 2018 - 19:36

189

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Find the image of a vector field

Published on 17 Mar 2018 - 21:30

201

Views

Coordinate independent way?

Published on 18 Mar 2018 - 19:24

108

Views

Unclear argument in Fulton's book on algebraic topology

Published on 25 Mar 2026 - 7:45

203

Views

Example of a manifold $M$ for which $TM$ and $T^*M$ are not isomorphic.

Published on 19 Mar 2018 - 21:17

411

Views

Codimension-1 submanifold as a inverse image of regular value.

Published on 17 Mar 2026 - 12:28

608

Views

Is the Transversality Homotopy Theorem wrong as it is stated in Lee‘s Introduction to smooth manifolds?

Published on 21 Mar 2018 - 19:49

949

Views

Show that $S^2$ is not diffeomorphic to the Torus.

Published on 20 Mar 2026 - 4:57

187

Views

Parallel transport on the $\mathbb{R}P^1$ tautological line bundle.

Published on 22 Mar 2018 - 13:02

226

Views

$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

Published on 22 Mar 2018 - 15:22

1.7k

Views

What is the Derivative of a Vector Field in a Manifold?

Published on 25 Mar 2026 - 7:45

156

Views

Are diffeomorphisms dense in $C^0(M)$ for a compact manifold M?

Published on 25 Mar 2018 - 15:21

List Question

Reference for Theorem About Closed and Exact Differential Forms

Confusion about the definition of a parameterization of a smooth manifold

Cobordism and Boundary Theorem (Guillemin-Pollack)

Show that a complex polynomial has a root inside a disk

Find the image of a vector field

Coordinate independent way?

Unclear argument in Fulton's book on algebraic topology

Example of a manifold $M$ for which $TM$ and $T^*M$ are not isomorphic.

Codimension-1 submanifold as a inverse image of regular value.

Is the Transversality Homotopy Theorem wrong as it is stated in Lee‘s Introduction to smooth manifolds?

Show that $S^2$ is not diffeomorphic to the Torus.

Parallel transport on the $\mathbb{R}P^1$ tautological line bundle.

$f: \Bbb R \to \Bbb R^2$ given by $f(t) = (t^2,t^3)$ is an immersion at $0$.

What is the Derivative of a Vector Field in a Manifold?

Are diffeomorphisms dense in $C^0(M)$ for a compact manifold M?

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