List questions from fiber-bundles

Published on 27 Mar 2026 - 1:49

58

Views

Additive cohomology of BO(k)

Published on 17 Nov 2015 - 22:17

755

Views

Exterior power of cotangent bundle of a cartesian product of manifolds

Published on 18 Nov 2015 - 21:13

399

Views

Computing Stiefel Whitney classes

Published on 27 Mar 2026 - 1:48

1.2k

Views

Isomorphism between $\operatorname{Hom}(E,F)$ and $E^*\otimes F$, $E$ and $F$ vector bundles.

Published on 23 Nov 2015 - 12:50

1.2k

Views

Why are the fibers of principal G-bundles homeomorphic to G?

Published on 24 Mar 2026 - 15:28

1.5k

Views

Semantics: 'determinant bundle', top exterior power of vector bundle

Published on 02 Dec 2015 - 19:15

319

Views

Is the base of a disc bundle necessarily a strong deformation retract of the total space?

Published on 04 Dec 2015 - 17:05

221

Views

When is a fibration (canonically) a principal fibration over its group of automorphisms?

Published on 13 Mar 2026 - 17:29

290

Views

Smoothness of transition maps of fiber bundle

Published on 11 Dec 2015 - 21:45

28

Views

Must the induced iso. on $G$ of an aut. of a $G$-principal fiber bundle be the identity map?

Published on 14 Dec 2015 - 10:57

44

Views

Compatibility of two notions of orientability for bundles

Published on 27 Mar 2026 - 0:05

704

Views

Equivalence between smooth and topological fiber bundles

Published on 15 Dec 2015 - 9:54

266

Views

Classification of $G$-principal Bundle and classification of $G$-coverings: a bridge between the two?

Published on 27 Mar 2026 - 5:03

81

Views

Make this example of a coordinate bundle more concrete

Published on 19 Dec 2015 - 16:15

List Question

Is multiplication by a Stiefel-Whitney class an injective map?

Additive cohomology of BO(k)

Exterior power of cotangent bundle of a cartesian product of manifolds

Computing Stiefel Whitney classes

Isomorphism between $\operatorname{Hom}(E,F)$ and $E^*\otimes F$, $E$ and $F$ vector bundles.

Why are the fibers of principal G-bundles homeomorphic to G?

Semantics: 'determinant bundle', top exterior power of vector bundle

Is the base of a disc bundle necessarily a strong deformation retract of the total space?

When is a fibration (canonically) a principal fibration over its group of automorphisms?

Smoothness of transition maps of fiber bundle

Must the induced iso. on $G$ of an aut. of a $G$-principal fiber bundle be the identity map?

Compatibility of two notions of orientability for bundles

Equivalence between smooth and topological fiber bundles

Classification of $G$-principal Bundle and classification of $G$-coverings: a bridge between the two?

Make this example of a coordinate bundle more concrete

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