List questions from differential-topology

Published on 26 Mar 2026 - 4:35

314

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Smale's proof on diffeomorphisms of 2-sphere

Published on 25 Nov 2018 - 11:27

201

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if $f: X \rightarrow Y$ is a diffeomorphism of manifolds with boundary, then $\partial f$ maps $\partial X$ diffeomorphically onto $\partial Y$.

Published on 25 Mar 2026 - 11:04

93

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Doubts about a definition of the variational derivative

Published on 26 Mar 2026 - 23:09

425

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Problem understanding Milnor Proof: (Theorem 1, Vector Fields chapter)

Published on 25 Nov 2018 - 21:43

505

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Computing de Rham Cohomology

Published on 27 Mar 2026 - 4:13

241

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Smooth no-where vanishing form

Published on 27 Mar 2026 - 4:27

1.2k

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Non-vanishing section on compact manifolds

Published on 26 Nov 2018 - 14:09

1.1k

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What does the Jacobian matrix of the projection mapping for Normal bundle look like? (2.3.14 G&P)

Published on 25 Mar 2026 - 6:12

163

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Cohomology of n-sphere minus k discs

Published on 27 Mar 2026 - 15:19

671

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Definition of connected sum and orientation problem

Published on 25 Mar 2026 - 3:22

46

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A difficulty in understanding a part of a paragraph in Guillemin & Pollack p.60

Published on 25 Mar 2026 - 6:12

405

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Positivity of Currents

Published on 27 Mar 2026 - 15:35

142

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Optimal way to prove smooth homotopy between polynomials

Published on 28 Nov 2018 - 21:32

63

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Show the set of mixed strategy - utility profiles such that each player is indifferent between all of her strategies is a manifold.

Published on 29 Nov 2018 - 4:49

List Question

Picture of the Universal Cover of the Hyperbolic Pair of Pants

Smale's proof on diffeomorphisms of 2-sphere

if $f: X \rightarrow Y$ is a diffeomorphism of manifolds with boundary, then $\partial f$ maps $\partial X$ diffeomorphically onto $\partial Y$.

Doubts about a definition of the variational derivative

Problem understanding Milnor Proof: (Theorem 1, Vector Fields chapter)

Computing de Rham Cohomology

Smooth no-where vanishing form

Non-vanishing section on compact manifolds

What does the Jacobian matrix of the projection mapping for Normal bundle look like? (2.3.14 G&P)

Cohomology of n-sphere minus k discs

Definition of connected sum and orientation problem

A difficulty in understanding a part of a paragraph in Guillemin & Pollack p.60

Positivity of Currents

Optimal way to prove smooth homotopy between polynomials

Show the set of mixed strategy - utility profiles such that each player is indifferent between all of her strategies is a manifold.

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