Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Algebraic_topology
gptkb:gauge_theory Mathematical physics Complex geometry |
| gptkbp:basisFor |
gptkb:topology
|
| gptkbp:definedIn |
A topological construction consisting of a family of vector spaces parameterized continuously by a topological space
|
| gptkbp:fiberContent |
gptkb:Vector
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:generalizes |
Fiber bundle
|
| gptkbp:hasProperty |
gptkb:Chern_class
gptkb:Tensor_product gptkb:Stiefel-Whitney_class Connection Rank Euler class Curvature Associated bundle Automorphism group Bundle map Classifying space Complex vector bundle Direct sum Dual bundle Exact sequence of bundles Flat bundle Frame bundle Holomorphic bundle Hom bundle Local triviality Morphisms of bundles Nontrivial bundle Projective bundle Pullback bundle Pushforward bundle Real vector bundle Section functor Short exact sequence of bundles Smooth bundle Splitting principle Topological bundle Transition functions Trivial bundle Zero section |
| gptkbp:hasSpecialCase |
Cotangent bundle
Line bundle Normal bundle Tangent bundle |
| gptkbp:hasSubfield |
gptkb:Algebraic_geometry
gptkb:Differential_geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Vector bundles
|
| gptkbp:introduced |
gptkb:Hermann_Weyl
|
| gptkbp:relatedConcept |
gptkb:Principal_bundle
Section Sheaf |
| gptkbp:structure |
General linear group
|
| gptkbp:studiedBy |
gptkb:K-theory
Characteristic classes |
| gptkbp:bfsParent |
gptkb:K-theory
|
| gptkbp:bfsLayer |
5
|