List questions from differential-topology

Published on 13 May 2020 - 14:08

218

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Heinz integral formula in the degree theory

Published on 13 May 2020 - 15:32

29

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Can we say that the moduli of differentiable structures of a topological manifold is discrete?

Published on 14 May 2020 - 1:41

155

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Under surjective submersion, pushforward of a $k$-form is smooth

Published on 25 Mar 2026 - 19:16

115

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Smooth simple representatives of elements of the fundamental group

Published on 14 May 2020 - 22:26

223

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What is the "full" topological requirements for a (classical) spacetime?

Published on 26 Mar 2026 - 2:54

345

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Prove the set of continuous functions on $S^1$ is isomorphic to the set of continuous periodic functions with period $2\pi$

Published on 29 Mar 2026 - 3:36

83

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Weakly irreducible manifold

Published on 30 Mar 2026 - 16:59

56

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Convergence in $C^{\infty}_{\text{loc}}$ on a manifold

Published on 16 May 2020 - 4:53

81

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Well-definedness of the Einstein-Hilbert action

Published on 26 Mar 2026 - 2:54

319

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Guillemin and Pollack Exercise 4.4.5

Published on 16 May 2020 - 22:44

139

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Proof that Morse complex is a complex using coherent orientation

Published on 25 Mar 2026 - 19:00

180

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Every contractible manifold is simply connected

Published on 17 May 2020 - 21:54

36

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Degree of a function maps $\Omega \subset \mathbb{R}^n \to \mathbb{R}^m$ for $m < n$

Published on 25 Mar 2026 - 22:03

28

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Principle curvature from torsion over curvature ratio?

Published on 19 May 2020 - 3:14

List Question

Canonical identification of cohomology of nearby fibers in a fiber bundle

Heinz integral formula in the degree theory

Can we say that the moduli of differentiable structures of a topological manifold is discrete?

Under surjective submersion, pushforward of a $k$-form is smooth

Smooth simple representatives of elements of the fundamental group

What is the "full" topological requirements for a (classical) spacetime?

Prove the set of continuous functions on $S^1$ is isomorphic to the set of continuous periodic functions with period $2\pi$

Weakly irreducible manifold

Convergence in $C^{\infty}_{\text{loc}}$ on a manifold

Well-definedness of the Einstein-Hilbert action

Guillemin and Pollack Exercise 4.4.5

Proof that Morse complex is a complex using coherent orientation

Every contractible manifold is simply connected

Degree of a function maps $\Omega \subset \mathbb{R}^n \to \mathbb{R}^m$ for $m < n$

Principle curvature from torsion over curvature ratio?

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