List questions from vector-bundles

Published on 02 Apr 2026 - 12:13

387

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Tensor product for vector bundles is commutative, associative, and has an identity element?

Published on 30 Mar 2026 - 6:45

348

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Transition function of line bundle

Published on 16 Dec 2015 - 20:41

246

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$\mathbb{R}^1$-bundle $\xi$ possesses Euclidean metric iff $\xi$ represents an element of order $\le2$

Published on 16 Dec 2015 - 23:07

158

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"Global" dimension for topological spaces // Geometric interpretation for global dimension of rings

Published on 17 Dec 2015 - 16:40

285

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what does Whitney sum of vector bundles correspond to in the k-theory KO?

Published on 01 Apr 2026 - 0:50

771

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Why doesn't this construction of Chern classes generalize to real bundles?

Published on 10 Mar 2026 - 22:44

98

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Maximal trivial subspace in vector bundles

Published on 19 Dec 2015 - 6:54

550

Views

What kind of object is the push forward of a vector field?

Published on 20 Dec 2015 - 17:49

316

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Horrocks-Mumford bundle

Published on 21 Dec 2015 - 6:05

2.4k

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Vector-valued differential forms

Published on 24 Dec 2015 - 16:36

944

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Stably trivial bundle is trivial

Published on 25 Dec 2015 - 12:37

1.2k

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Why can one discriminate between the trivial $S^1$ line bundle and the Möbius strip by knowing the fibre transformation group?

Published on 28 Mar 2026 - 16:14

40

Views

construction of $\Omega^r_B(E)$ and $\Omega^r_B( End E)$

Published on 27 Dec 2015 - 10:44

551

Views

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

Published on 28 Dec 2015 - 10:05

List Question

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

Tensor product for vector bundles is commutative, associative, and has an identity element?

Transition function of line bundle

$\mathbb{R}^1$-bundle $\xi$ possesses Euclidean metric iff $\xi$ represents an element of order $\le2$

"Global" dimension for topological spaces // Geometric interpretation for global dimension of rings

what does Whitney sum of vector bundles correspond to in the k-theory KO?

Why doesn't this construction of Chern classes generalize to real bundles?

Maximal trivial subspace in vector bundles

What kind of object is the push forward of a vector field?

Horrocks-Mumford bundle

Vector-valued differential forms

Stably trivial bundle is trivial

Why can one discriminate between the trivial $S^1$ line bundle and the Möbius strip by knowing the fibre transformation group?

construction of $\Omega^r_B(E)$ and $\Omega^r_B( End E)$

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

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