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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:categoryTheoryDefinition
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A functor with a certain lifting property for morphisms.
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gptkbp:defines
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A mapping satisfying the homotopy lifting property for every space.
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gptkbp:example
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gptkb:Hopf_fibration
Projection map in a fiber bundle
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gptkbp:field
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gptkb:Mathematics
gptkb:Topology
gptkb:Algebraic_geometry
Category theory
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gptkbp:generalizes
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Fiber bundle
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gptkbp:hasProperty
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gptkb:Homotopy_lifting_property
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gptkbp:hasType
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gptkb:Serre_fibration
gptkb:Hurewicz_fibration
Cartesian fibration
Cofibration (dual concept)
Grothendieck fibration
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https://www.w3.org/2000/01/rdf-schema#label
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Fibrations
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gptkbp:importantFor
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gptkb:Higher_category_theory
gptkb:Sheaf_theory
Homotopy theory
Model categories
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gptkbp:introduced
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gptkb:Jean-Pierre_Serre
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gptkbp:relatedTo
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gptkb:Serre_fibration
Fiber bundle
Grothendieck fibration
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gptkbp:seeAlso
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Base space
Cofibration
Fiber (mathematics)
Section (mathematics)
Total space
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gptkbp:usedIn
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gptkb:Algebraic_topology
Homotopy theory
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gptkbp:bfsParent
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gptkb:Spectral_sequences
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gptkbp:bfsLayer
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7
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