fibre bundle

URI: https://gptkb.org/entity/fibre_bundle

GPTKB entity

Statements (60)

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:defines	A fibre bundle is a structure (E, B, π, F) where E is the total space, B is the base space, π: E → B is a continuous surjection, and F is the fibre, such that locally E looks like B × F.
gptkbp:example	gptkb:Möbius_strip gptkb:line_bundle gptkb:Hopf_fibration gptkb:principal_G-bundle gptkb:nontrivial_bundle gptkb:vector_bundle frame bundle cotangent bundle sphere bundle tangent bundle normal bundle trivial bundle
gptkbp:field	gptkb:mathematics gptkb:topology differential geometry
gptkbp:generalizes	gptkb:covering_space gptkb:principal_bundle gptkb:vector_bundle
gptkbp:hasApplication	gptkb:partial_differential_equations gptkb:algebraic_geometry gptkb:general_relativity gptkb:quantum_field_theory gptkb:K-theory gptkb:string_theory control theory dynamical systems fiber optics mechanics robotics twistor theory homotopy theory index theory complex geometry gauge bosons foliation theory fibered manifold
gptkbp:hasInvariant	gptkb:characteristic_class gptkb:Chern_class gptkb:Stiefel–Whitney_class Euler class Pontryagin class obstruction theory
gptkbp:hasPart	base space projection map total space fibre
gptkbp:hasProperty	locally trivial
gptkbp:introduced	gptkb:Herbert_Seifert
gptkbp:relatedTo	gptkb:manga_series transition function structure group
gptkbp:usedIn	gptkb:gauge_theory gptkb:theoretical_physics gptkb:topology differential topology
gptkbp:bfsParent	gptkb:The_Topology_of_Fibre_Bundles
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	fibre bundle