Leray–Hirsch theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo fiber bundles
gptkbp:concerns cohomology
gptkbp:field gptkb:topology
gptkbp:firstPublished 1950s
https://www.w3.org/2000/01/rdf-schema#label Leray–Hirsch theorem
gptkbp:namedAfter gptkb:Jean_Leray
Guy Hirsch
gptkbp:state If the cohomology of the fiber is a free module and certain conditions are met, the cohomology of the total space is isomorphic to the tensor product of the cohomology of the base and the fiber.
gptkbp:usedIn gptkb:algebraic_geometry
differential geometry
gptkbp:bfsParent gptkb:Gysin_sequence
gptkbp:bfsLayer 7