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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Index_theory
gptkb:gauge_theory
gptkb:K-theory
Characteristic classes
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gptkbp:basisFor
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gptkb:topology
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gptkbp:definedIn
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A topological construction consisting of a family of vector spaces parameterized continuously by a topological space
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gptkbp:example
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gptkb:Möbius_bundle
Cotangent bundle
Tangent bundle
Trivial bundle
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gptkbp:fiberContent
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gptkb:Vector
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gptkbp:field
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gptkb:Topology
gptkb:Algebraic_geometry
gptkb:Differential_geometry
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gptkbp:generalizes
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Line bundle
Trivial bundle
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gptkbp:hasProperty
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Locally trivial
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https://www.w3.org/2000/01/rdf-schema#label
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Vector bundle
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gptkbp:introduced
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gptkb:Hassler_Whitney
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gptkbp:projection_map
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Continuous surjection from total space to base space
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gptkbp:rank
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Dimension of the vector space fiber
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gptkbp:relatedConcept
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gptkb:Principal_bundle
Fiber bundle
Line bundle
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gptkbp:section
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Continuous map from base space to total space
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gptkbp:structure
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General linear group
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gptkbp:studiedBy
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Mathematicians
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gptkbp:totalSpace
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gptkb:topology
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gptkbp:transition_function
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Describes how local trivializations are glued together
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gptkbp:used_in
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gptkb:Algebraic_topology
gptkb:Vector_field_theory
Mathematical physics
Complex geometry
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gptkbp:bfsParent
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gptkb:Principal_bundle
gptkb:Higher_Chern_classes
gptkb:Second_Chern_class
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gptkbp:bfsLayer
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7
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