Thom isomorphism theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo oriented vector bundles
gptkbp:concerns gptkb:Thom_space
gptkb:vector_bundles
cohomology
gptkbp:field gptkb:topology
https://www.w3.org/2000/01/rdf-schema#label Thom isomorphism theorem
gptkbp:introducedIn 1950s
gptkbp:namedAfter gptkb:René_Thom
gptkbp:state There is an isomorphism between the cohomology of the base space and the cohomology of the Thom space of an oriented vector bundle.
gptkbp:usedIn cobordism theory
gptkbp:bfsParent gptkb:Topological_K-theory
gptkbp:bfsLayer 6