Brown representability theorem

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo homotopy theory
cohomology theories
gptkbp:field gptkb:topology
gptkbp:hasAxiom exactness axiom
wedge axiom
https://www.w3.org/2000/01/rdf-schema#label Brown representability theorem
gptkbp:namedAfter gptkb:Edgar_H._Brown,_Jr.
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Eilenberg–Steenrod_axioms
homological algebra
representable functor
gptkbp:state A contravariant functor from the homotopy category of pointed CW complexes to sets is representable if it satisfies certain axioms.
gptkbp:yearProposed 1962
gptkbp:bfsParent gptkb:Algebraic_topology
gptkbp:bfsLayer 6