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gptkbp:instanceOf
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gptkb:mathematical_concept
|
|
gptkbp:application
|
gptkb:Obstruction_theory
Characteristic classes
Algebraic invariants
Classification of topological spaces
|
|
gptkbp:category
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Category theory
|
|
gptkbp:definedIn
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gptkb:algebraic_geometry
gptkb:group_of_people
gptkb:topology
gptkb:Chain_complex
Sheaf
|
|
gptkbp:degree
|
n
|
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gptkbp:field
|
gptkb:Algebraic_topology
gptkb:Algebraic_geometry
Homological algebra
|
|
gptkbp:generalizes
|
gptkb:Alexander–Spanier_cohomology
gptkb:Sheaf_cohomology
gptkb:Étale_cohomology
gptkb:Čech_cohomology
gptkb:De_Rham_cohomology
gptkb:Singular_cohomology
Group cohomology
|
|
gptkbp:hasDual
|
gptkb:Homology_group
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Cohomology group
|
|
gptkbp:introduced
|
gptkb:Henri_Poincaré
|
|
gptkbp:notation
|
H^n(X, A)
H^n
H^n(X)
|
|
gptkbp:output
|
Abelian group
|
|
gptkbp:relatedTo
|
gptkb:Functor
gptkb:Ext_functor
gptkb:Poincaré_duality
gptkb:Künneth_theorem
gptkb:Mayer–Vietoris_sequence
gptkb:Long_exact_sequence
gptkb:Universal_coefficient_theorem
gptkb:Chain_complex
gptkb:Homology_group
Abelian group
Derived functor
Sheaf
Cohomology ring
Cup product
Spectral sequence
Exact sequence
Short exact sequence
|
|
gptkbp:studiedIn
|
gptkb:Mathematics
|
|
gptkbp:usedIn
|
gptkb:Number_theory
gptkb:Topology
gptkb:Algebraic_geometry
gptkb:Differential_geometry
|
|
gptkbp:bfsParent
|
gptkb:Cohomology
|
|
gptkbp:bfsLayer
|
6
|