Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
real vector bundle
|
| gptkbp:coefficientRing |
gptkb:Z/2Z
|
| gptkbp:definedIn |
base space of the bundle
|
| gptkbp:degree |
non-negative integer
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:firstAppearance |
1935
|
| gptkbp:generalizes |
Euler class
|
| gptkbp:heldBy |
characteristic class
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stiefel-Whitney class
|
| gptkbp:introduced |
gptkb:Hassler_Whitney
gptkb:Eduard_Stiefel |
| gptkbp:namedAfter |
gptkb:Hassler_Whitney
gptkb:Eduard_Stiefel |
| gptkbp:notation |
w_i(E)
|
| gptkbp:property |
w_0(E) = 1
w_1(E) is the obstruction to orientability w_i(E) = 0 for i > rank(E) w_n(E) is the Euler class mod 2 |
| gptkbp:relatedTo |
gptkb:Chern_class
Pontryagin class |
| gptkbp:takesValuesIn |
cohomology with Z/2Z coefficients
|
| gptkbp:usedIn |
differential topology
classification of vector bundles obstruction theory |
| gptkbp:bfsParent |
gptkb:Vector_bundles
gptkb:spin_manifold |
| gptkbp:bfsLayer |
6
|