List questions from differential-topology

Published on 13 Mar 2017 - 13:54

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Basic question on fiber bundles

Published on 13 Mar 2017 - 15:42

622

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Nonstandard calculus and differential geometry

Published on 25 Mar 2026 - 20:08

70

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A smooth vector field along a curve $c:[0,1] \to M$, such that $V(0) = 0$, $V(1) = w$ for some fixed $w$.

Published on 13 Mar 2017 - 20:21

40

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A local homeomorphism defined by linearly independent functions

Published on 14 Mar 2017 - 18:36

319

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Very basic question about smooth change of coordinates.

Published on 10 Apr 2026 - 13:59

86

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understanding the bundle metric

Published on 10 Apr 2026 - 17:21

418

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Is there any reason to expect that the Lie derivative is trivial on cohomology?

Published on 16 Mar 2017 - 3:14

391

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Applications of Atiyah Singer Index Theorem

Published on 25 Mar 2026 - 23:53

91

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Existence of a Riemann structure on every differentiable manifold

Published on 10 Apr 2026 - 21:39

249

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Which lens spaces admit degree -1 maps?

Published on 30 Mar 2026 - 0:17

1.3k

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Existence of a smooth frame for a vector bundle

Published on 17 Mar 2017 - 4:29

678

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Regular values for maps between manifolds with boundary

Published on 26 Mar 2026 - 19:27

65

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How to deal with this $\limsup$?

Published on 10 Apr 2026 - 13:35

149

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Can a $C^r$ differentiable function on a arbitrary set be extend to a $G_\delta$ set?

Published on 18 Mar 2017 - 15:08

List Question

two loops intersect transversally at a single crossing point in the torus

Basic question on fiber bundles

Nonstandard calculus and differential geometry

A smooth vector field along a curve $c:[0,1] \to M$, such that $V(0) = 0$, $V(1) = w$ for some fixed $w$.

A local homeomorphism defined by linearly independent functions

Very basic question about smooth change of coordinates.

understanding the bundle metric

Is there any reason to expect that the Lie derivative is trivial on cohomology?

Applications of Atiyah Singer Index Theorem

Existence of a Riemann structure on every differentiable manifold

Which lens spaces admit degree -1 maps?

Existence of a smooth frame for a vector bundle

Regular values for maps between manifolds with boundary

How to deal with this $\limsup$?

Can a $C^r$ differentiable function on a arbitrary set be extend to a $G_\delta$ set?

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