Künneth formula in homology

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo cellular homology
simplicial homology
singular homology
gptkbp:describes relationship between homology of product spaces and homology of factors
gptkbp:field gptkb:topology
gptkbp:generalizes Künneth theorem in cohomology
https://www.w3.org/2000/01/rdf-schema#label Künneth formula in homology
gptkbp:involves gptkb:Tor_functor
tensor product of homology groups
gptkbp:namedAfter gptkb:Hermann_Künneth
gptkbp:publicationYear 1922
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:relatedTo gptkb:universal_coefficient_theorem
gptkbp:sentence There is a natural short exact sequence involving tensor products and Tor functors of the homology groups of the factors.
gptkbp:usedIn computation of homology of product spaces
gptkbp:bfsParent gptkb:Künneth_theorem_in_K-theory
gptkbp:bfsLayer 7