Universal Coefficient Theorem
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
topological spaces
chain complexes |
| gptkbp:category |
theorems in algebraic topology
|
| gptkbp:field |
gptkb:topology
homological algebra |
| gptkbp:firstPublished |
1940s
|
| gptkbp:form |
short exact sequence involving Tor and Ext functors
|
| gptkbp:generalizes |
gptkb:Künneth_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Universal Coefficient Theorem
|
| gptkbp:involves |
gptkb:Ext_functor
gptkb:Tor_functor tensor product abelian groups |
| gptkbp:notableFor |
singular cohomology
singular homology |
| gptkbp:relatedTo |
homology
cohomology |
| gptkbp:state |
relationship between homology with arbitrary coefficients and homology with integer coefficients
|
| gptkbp:usedIn |
calculation of cohomology groups
calculation of homology groups |
| gptkbp:bfsParent |
gptkb:C*-algebra_K-theory
|
| gptkbp:bfsLayer |
6
|