|
gptkbp:instanceOf
|
gptkb:mathematical_concept
|
|
gptkbp:appliesTo
|
gptkb:Algebraic_varieties
gptkb:Topological_spaces
Groups
Rings
Modules
Manifolds
Complexes
Sheaves
|
|
gptkbp:category
|
gptkb:geometry
gptkb:Topology
gptkb:Abstract_algebra
Mathematical physics
|
|
gptkbp:describes
|
Global properties of spaces
|
|
gptkbp:example
|
gptkb:Alexander–Spanier_cohomology
gptkb:Sheaf_cohomology
gptkb:Étale_cohomology
gptkb:Čech_cohomology
gptkb:De_Rham_cohomology
gptkb:Singular_cohomology
Group cohomology
|
|
gptkbp:field
|
gptkb:Mathematics
|
|
gptkbp:generalizes
|
Homology
|
|
gptkbp:hasInvariant
|
gptkb:Cohomology_class
Cohomology ring
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Cohomology
|
|
gptkbp:introducedIn
|
20th century
|
|
gptkbp:notablePerson
|
gptkb:Saunders_Mac_Lane
gptkb:Henri_Cartan
gptkb:Jean_Leray
gptkb:Élie_Cartan
gptkb:Alexander_Grothendieck
gptkb:Samuel_Eilenberg
|
|
gptkbp:notableTool
|
Classifying topological spaces
Studying algebraic structures
|
|
gptkbp:operator
|
Coboundary operator
Cohomology differential
Cup product
|
|
gptkbp:relatedTo
|
gptkb:Cohomology_group
gptkb:Cohomology_theory
Homology
|
|
gptkbp:studies
|
Coboundaries
Cocycles
Cohomology classes
|
|
gptkbp:usedIn
|
gptkb:Algebraic_topology
gptkb:Algebraic_geometry
gptkb:Differential_geometry
Homological algebra
|
|
gptkbp:bfsParent
|
gptkb:Algebraische_Geometrie
|
|
gptkbp:bfsLayer
|
5
|