List questions from differential-topology

Published on 07 Apr 2026 - 3:55

191

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Map to exterior power gives rise to smooth embedding of Grassmannian in projective space?

Published on 28 Mar 2026 - 13:21

93

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Let $\Omega$ be a star-shaped open set of $\mathbb{R}^3$. Under which conditions is $\Omega$ analytically diffeomorphic to $\mathbb{R}^3$?

Published on 13 Apr 2026 - 15:02

1.4k

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Sections of a sheaf

Published on 09 Apr 2026 - 15:25

172

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why the space of smooth mappings has the homotopy type of a CW complex?

Published on 13 Apr 2026 - 22:04

693

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The $f^{-1}(y)$ is locally constant where $ y$ ranges through regular values

Published on 13 Apr 2026 - 11:37

698

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curved space vs linear space with curved basis

Published on 24 Apr 2026 - 13:43

80

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Example of a $C^\infty$ function which cannot be approximated by local diffeomorphisms

Published on 17 Apr 2026 - 4:36

947

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Stably trivial bundle is trivial

Published on 12 Apr 2026 - 10:06

153

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Given two points on a manifold, is there a chart containing both?

Published on 14 Apr 2026 - 20:30

554

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Canonical Bundle Isomorphism $T_v(E)\cong \pi^* E$

Published on 16 Apr 2026 - 11:06

961

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Is there a reason why Harmonic functions are defined on open sets?

Published on 10 Apr 2026 - 10:33

516

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Does the Morse homology depend on the orientation?

Published on 29 Dec 2015 - 15:00

812

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Hints for an exercise on Morse theory

Published on 22 Apr 2026 - 2:03

436

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Morse functions and connected sum

Published on 26 Mar 2026 - 9:35

List Question

Frobenius Condition for Singular Integrable Distributions

Map to exterior power gives rise to smooth embedding of Grassmannian in projective space?

Let $\Omega$ be a star-shaped open set of $\mathbb{R}^3$. Under which conditions is $\Omega$ analytically diffeomorphic to $\mathbb{R}^3$?

Sections of a sheaf

why the space of smooth mappings has the homotopy type of a CW complex?

The $f^{-1}(y)$ is locally constant where $ y$ ranges through regular values

curved space vs linear space with curved basis

Example of a $C^\infty$ function which cannot be approximated by local diffeomorphisms

Stably trivial bundle is trivial

Given two points on a manifold, is there a chart containing both?

Canonical Bundle Isomorphism $T_v(E)\cong \pi^* E$

Is there a reason why Harmonic functions are defined on open sets?

Does the Morse homology depend on the orientation?

Hints for an exercise on Morse theory

Morse functions and connected sum

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