List questions from differential-topology

Published on 28 Mar 2026 - 6:40

233

Views

Retracting $\mathbb{R}^3$ minus a circle and a line to the torus.

Published on 15 Apr 2026 - 10:43

25

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Show the set $S_a$ is a mooth surface, find its dimension and if is connected. Plus find the minimum of elements of the atlas.

Published on 14 Apr 2026 - 21:00

59

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Whitney's embedding theorem(s) and the existence of $C^\infty$ sub-atlas of a $C^k$ atlas

Published on 16 Apr 2026 - 21:30

636

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Understanding stable and unstable manifolds

Published on 09 Apr 2026 - 0:33

278

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flow generates a vector field

Published on 14 Apr 2026 - 21:48

385

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Two homotopy equivalent closed $n$-manifolds are homeomorphic

Published on 13 Apr 2026 - 23:19

209

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Does $C^0$ convergence imply "eventually homotopic"?

Published on 15 Apr 2026 - 7:06

119

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Manifold structure on a set of matrices

Published on 14 Apr 2026 - 15:47

474

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Continuous groups that are not or do not involve Lie groups?

Published on 15 Apr 2026 - 2:41

102

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Closed set that doesn't have the Baire property

Published on 14 Apr 2026 - 11:04

171

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Existence of a self-homeomorphism $\phi$ of a connected Hausdorff manifold satisfying $\phi(x)=y$

Published on 15 Apr 2026 - 0:00

385

Views

How do you show that the class of diffeomorphisms from a compact manifold is stable?

Published on 11 Apr 2026 - 5:50

69

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Almost all affine $k$-planes in $\mathbb{R}^n$ are transverse to a submanifold

Published on 11 May 2026 - 8:00

117

Views

Obstruction to a Spin structure on a bundle ξ, and ξ ⊕ $n$ det ξ

Published on 15 Apr 2026 - 0:27

List Question

Bott&Tu, Definition of the Euler class of a vector bundle

Retracting $\mathbb{R}^3$ minus a circle and a line to the torus.

Show the set $S_a$ is a mooth surface, find its dimension and if is connected. Plus find the minimum of elements of the atlas.

Whitney's embedding theorem(s) and the existence of $C^\infty$ sub-atlas of a $C^k$ atlas

Understanding stable and unstable manifolds

flow generates a vector field

Two homotopy equivalent closed $n$-manifolds are homeomorphic

Does $C^0$ convergence imply "eventually homotopic"?

Manifold structure on a set of matrices

Continuous groups that are not or do not involve Lie groups?

Closed set that doesn't have the Baire property

Existence of a self-homeomorphism $\phi$ of a connected Hausdorff manifold satisfying $\phi(x)=y$

How do you show that the class of diffeomorphisms from a compact manifold is stable?

Almost all affine $k$-planes in $\mathbb{R}^n$ are transverse to a submanifold

Obstruction to a Spin structure on a bundle ξ, and ξ ⊕ $n$ det ξ

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