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
|