List questions from differential-topology

Published on 25 Mar 2026 - 4:37

405

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An affine bundle has a global section?

Published on 25 Mar 2026 - 16:39

1.5k

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Proof details of the fact that the unit tangent bundle is compact in $TM$ if $M$ is a compact manifold

Published on 24 Mar 2026 - 22:07

233

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Equivalence between function being Morse and $df$ being transversal to zero section.

Published on 17 Mar 2026 - 17:34

80

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Existence of a "special atlas"?

Published on 13 Apr 2018 - 14:39

102

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Show that ∂(M×N)=M × ∂N.

Published on 25 Mar 2026 - 7:41

138

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If $F:S^3 \rightarrow \mathbb{R}^3$ is a nonvanishing smooth function then exists a "smooth basis"

Published on 15 Apr 2018 - 0:46

978

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Morse lemma via Moser's trick

Published on 22 Mar 2026 - 12:06

149

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Equivalence of tangential and normal stably almost complex structure

Published on 22 Mar 2026 - 21:40

59

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Different versions of the determinant theorem about $n$-covectors

Published on 24 Mar 2026 - 22:12

92

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An orientation on $\Lambda^k (V^\ast)$ defines an orientation on $V$

Published on 17 Apr 2018 - 0:01

130

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How would you define the volume of a parallelepiped in $\mathbb R^k$?

Published on 17 Apr 2018 - 2:27

109

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Does this way of thinking about $d(df)$ go anywhere?

Published on 17 Apr 2018 - 5:30

126

Views

Changing the fiber in vector bundles

Published on 25 Mar 2026 - 6:10

343

Views

Show that a set fails to be a manifold

Published on 17 Apr 2018 - 22:05

List Question

Why does Liouville-Arnold theorem fail on separatrix level sets?

An affine bundle has a global section?

Proof details of the fact that the unit tangent bundle is compact in $TM$ if $M$ is a compact manifold

Equivalence between function being Morse and $df$ being transversal to zero section.

Existence of a "special atlas"?

Show that ∂(M×N)=M × ∂N.

If $F:S^3 \rightarrow \mathbb{R}^3$ is a nonvanishing smooth function then exists a "smooth basis"

Morse lemma via Moser's trick

Equivalence of tangential and normal stably almost complex structure

Different versions of the determinant theorem about $n$-covectors

An orientation on $\Lambda^k (V^\ast)$ defines an orientation on $V$

How would you define the volume of a parallelepiped in $\mathbb R^k$?

Does this way of thinking about $d(df)$ go anywhere?

Changing the fiber in vector bundles

Show that a set fails to be a manifold

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