Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:cohomology_theory
|
gptkbp:alsoKnownAs |
singular cohomology
|
gptkbp:appliesTo |
topological spaces
|
gptkbp:definedIn |
cochain complexes
|
gptkbp:generalizes |
generalized cohomology theories
|
gptkbp:hasCoefficient |
finite fields
real numbers integers |
gptkbp:hasDual |
ordinary homology
|
gptkbp:hasFunctor |
contravariant functor
|
gptkbp:hasGrading |
integer grading
|
https://www.w3.org/2000/01/rdf-schema#label |
Ordinary cohomology
|
gptkbp:introducedIn |
20th century
|
gptkbp:operator |
gptkb:Steenrod_squares
|
gptkbp:product |
cup product
|
gptkbp:relatedTo |
homology
|
gptkbp:satisfies |
gptkb:Eilenberg–Steenrod_axioms
|
gptkbp:usedFor |
classifying topological spaces
computing invariants |
gptkbp:usedIn |
gptkb:topology
|
gptkbp:uses |
abelian groups
|
gptkbp:bfsParent |
gptkb:Intersection_cohomology
|
gptkbp:bfsLayer |
8
|