List questions from differential-topology

Published on 03 Apr 2026 - 1:54

43

Views

why does the sequence have a convergent subsequence

Published on 14 Apr 2026 - 18:03

2k

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Is the tangent bundle of $S^2 \times S^1$ trivial or not?

Published on 11 Apr 2026 - 15:35

293

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Smoothness of transition maps of fiber bundle

Published on 13 Apr 2026 - 23:54

363

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Exists homeomorphism which carries each fiber isomorphically to itself, composition?

Published on 03 Apr 2026 - 14:24

418

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Can derivative of a smooth norm be zero?

Published on 11 Apr 2026 - 18:11

344

Views

Constructing a vector bundle built out of kernels of the Jacobian?

Published on 17 Apr 2026 - 6:11

319

Views

Unique factorization of manifolds?

Published on 11 Apr 2026 - 20:01

142

Views

If $M$ is Riemannian, then $\kappa_f \oplus f^*TN \cong TM$, where $\kappa_f$ is built out of kernels of the $Df_x$?

Published on 16 Apr 2026 - 2:31

154

Views

A trivial vector bundle with a riemannian metric has an isomorphism with the trivial bundle that is an isometry on each fiber.

Published on 16 Apr 2026 - 2:29

707

Views

Equivalence between smooth and topological fiber bundles

Published on 14 Apr 2026 - 6:21

277

Views

Diffeomorphism between $\mathbb{P}^n$ and the submanifold of $\mathbb{R}^{(n+1)^2}$ consisting of certain matrices?

Published on 14 Apr 2026 - 11:36

120

Views

Extending Morse-Smale pair from submanifolds?

Published on 09 Apr 2026 - 8:53

281

Views

Subset $V$ of projective space is open iff $q^{-1}(V)$ is open?

Published on 15 Apr 2026 - 6:28

184

Views

How do I see that $\mathbb{RP}^4$ and $\mathbb{RP}^6$ do not admit fields of tangent $2$-planes?

Published on 18 Apr 2026 - 13:37

List Question

commutivity of suspension and quotient space

why does the sequence have a convergent subsequence

Is the tangent bundle of $S^2 \times S^1$ trivial or not?

Smoothness of transition maps of fiber bundle

Exists homeomorphism which carries each fiber isomorphically to itself, composition?

Can derivative of a smooth norm be zero?

Constructing a vector bundle built out of kernels of the Jacobian?

Unique factorization of manifolds?

If $M$ is Riemannian, then $\kappa_f \oplus f^*TN \cong TM$, where $\kappa_f$ is built out of kernels of the $Df_x$?

A trivial vector bundle with a riemannian metric has an isomorphism with the trivial bundle that is an isometry on each fiber.

Equivalence between smooth and topological fiber bundles

Diffeomorphism between $\mathbb{P}^n$ and the submanifold of $\mathbb{R}^{(n+1)^2}$ consisting of certain matrices?

Extending Morse-Smale pair from submanifolds?

Subset $V$ of projective space is open iff $q^{-1}(V)$ is open?

How do I see that $\mathbb{RP}^4$ and $\mathbb{RP}^6$ do not admit fields of tangent $2$-planes?

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