Statements (60)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Architect
|
| gptkbp:field |
n
|
| gptkbp:hasCustomerBase |
gptkb:Topological_Space
|
| gptkbp:hasStaff |
Vector_Space
|
| gptkbp:hasType |
gptkb:Complex_Vector_Bundle
Principal Bundle Holomorphic Vector Bundle Real Vector Bundle |
| https://www.w3.org/2000/01/rdf-schema#label |
Vector Bundles
|
| gptkbp:isCharacterizedBy |
Sections
Transition Functions Cohomology Classes Local Triviality Condition |
| gptkbp:isRelatedTo |
gptkb:Lie_Groups
gptkb:Tangent_Bundles gptkb:Spectral_Sequences Connections Curvature Representation Theory Sheaf Cohomology Bott Periodicity Homology Groups Tensor Products Differential Forms Characteristic Polynomial Cohomological Dimension Cohomology Groups De Rham Cohomology Exact Sequences Vector Fields Homomorphisms Homotopy Theory Topology of Fiber Bundles Simplicial Sets Stability Conditions Global Sections Local Sections Homogeneous Spaces Grothendieck Groups Vector Bundle Cohomology Dual Bundles Euler Class Pullbacks Pushforwards Vector Bundle Maps Vector Bundle Theorem Chern_Classes Moduli_Spaces Sheaf_Theory Riemannian_Geometry Fiber_Bundles Homotopy_Groups Normal_Bundles Stokes'_Theorem Whitney_Sum |
| gptkbp:isUsedFor |
Characteristic Classes
K-Theory |
| gptkbp:isUsedIn |
Topology
Differential Geometry Algebraic_Geometry |