cohomology theory

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alternativeName generalized_cohomology_theory
homology_theory
gptkbp:category homotopy theory
gptkbp:definedIn topological spaces
gptkbp:example gptkb:K-theory
gptkb:complex_cobordism
gptkb:Morava_K-theory
cobordism theory
extraordinary cohomology theory
gptkbp:field gptkb:topology
gptkbp:generalizes singular cohomology
ordinary cohomology theory
gptkbp:hasAxiom gptkb:Eilenberg–Steenrod_axioms_(modified)
excision
homotopy invariance
long exact sequence of a pair
https://www.w3.org/2000/01/rdf-schema#label cohomology theory
gptkbp:introduced gptkb:Armand_Borel
gptkb:John_C._Moore
gptkbp:omitsAxiom dimension axiom
gptkbp:relatedTo gptkb:cohomology_theory
extraordinary cohomology theory
gptkbp:studiedIn stable homotopy theory
gptkbp:usedIn gptkb:algebraic_geometry
mathematical physics
gptkbp:uses spectra
gptkbp:bfsParent gptkb:Jean_Leray
gptkb:Serre_class
gptkb:Tate_cohomology
gptkb:Deligne_cohomology
gptkbp:bfsLayer 5