List questions from differential-topology

Published on 23 Mar 2019 - 23:45

138

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The definition of normal bundle as a quotient.

Published on 25 Mar 2026 - 3:01

121

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Is $\pi: \mathcal{C}^\infty (M,N) \to \mathcal{C}^\infty (S,N)$, $\pi(f) = \left. f\right|_{S}$ a quocient map in the $\mathcal C^1$ topology?

Published on 24 Mar 2019 - 18:08

659

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Embedded surface in simply connected manifold is two sided?

Published on 29 Mar 2026 - 5:42

78

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Exercise 3 in section 2.2 on Hirsch's differential topology

Published on 25 Mar 2019 - 3:47

134

Views

Universal cover of a not-necessarily-complete hyperbolic manifold

Published on 26 Mar 2026 - 13:30

491

Views

Can we choose smoothly the singular vectors of a matrix?

Published on 25 Mar 2026 - 9:38

128

Views

Existence of a particular inverse transformation

Published on 27 Mar 2026 - 7:35

336

Views

Triviality of complexified tangent bundle of a closed surface

Published on 25 Mar 2026 - 16:08

1.2k

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When Does an Atlas Uniquely Define a Manifold?

Published on 29 Mar 2019 - 2:07

611

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How to prove that this two maps on torus are not homotopic?

Published on 29 Mar 2019 - 3:25

413

Views

Monodromy when fiber is connected

Published on 25 Mar 2026 - 17:36

61

Views

Finding a manifold that covers a compact and respect some properties

Published on 29 Mar 2019 - 16:30

129

Views

Value of exterior derivative as of limit of integral

Published on 26 Mar 2026 - 4:53

174

Views

Example of "practical" applications of Donaldson Invariants

Published on 25 Mar 2026 - 15:31

List Question

Extension of Vector Field in the $\mathcal{C}^r$ topology.

The definition of normal bundle as a quotient.

Is $\pi: \mathcal{C}^\infty (M,N) \to \mathcal{C}^\infty (S,N)$, $\pi(f) = \left. f\right|_{S}$ a quocient map in the $\mathcal C^1$ topology?

Embedded surface in simply connected manifold is two sided?

Exercise 3 in section 2.2 on Hirsch's differential topology

Universal cover of a not-necessarily-complete hyperbolic manifold

Can we choose smoothly the singular vectors of a matrix?

Existence of a particular inverse transformation

Triviality of complexified tangent bundle of a closed surface

When Does an Atlas Uniquely Define a Manifold?

How to prove that this two maps on torus are not homotopic?

Monodromy when fiber is connected

Finding a manifold that covers a compact and respect some properties

Value of exterior derivative as of limit of integral

Example of "practical" applications of Donaldson Invariants

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