Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
real vector bundle
|
| gptkbp:coefficientRing |
gptkb:Z/2Z
|
| gptkbp:component |
gptkb:Stiefel–Whitney_number
total Stiefel–Whitney class |
| gptkbp:degree |
non-negative integer
|
| gptkbp:field |
gptkb:topology
|
| gptkbp:heldBy |
characteristic class
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stiefel–Whitney class
|
| gptkbp:introducedIn |
1935
|
| gptkbp:namedAfter |
gptkb:Hassler_Whitney
gptkb:Eduard_Stiefel |
| gptkbp:notation |
w_i(E)
w(E) |
| gptkbp:relatedTo |
gptkb:Chern_class
Euler class Pontryagin class |
| gptkbp:residesIn |
cohomology ring with Z/2Z coefficients
|
| gptkbp:satisfies |
w_0(E) = 1
w_1(E) = first Stiefel–Whitney class w_2(E) = second Stiefel–Whitney class |
| gptkbp:usedFor |
differentiable manifolds
obstruction theory classifying vector bundles |
| gptkbp:usedIn |
gptkb:geometry
gptkb:topology |
| gptkbp:bfsParent |
gptkb:Chern_class
|
| gptkbp:bfsLayer |
6
|