Ordinary cohomology

GPTKB entity

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