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- Brown's_representability_theorem abstract "In mathematics, Brown's representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy category Hotc of pointed connected CW complexes, to the category of sets Set, to be a representable functor.More specifically, we are givenF: Hotcop → Set,and there are certain obviously necessary conditions for F to be of type Hom(—, C), with C a pointed connected CW-complex that can be deduced from category theory alone. The statement of the substantive part of the theorem is that these necessary conditions are then sufficient. For technical reasons, the theorem is often stated for functors to the category of pointed sets; in other words the sets are also given a base point.".
- Brown's_representability_theorem wikiPageID "1073746".
- Brown's_representability_theorem wikiPageRevisionID "518737049".
- Brown's_representability_theorem hasPhotoCollection Brown's_representability_theorem.
- Brown's_representability_theorem subject Category:Category_theory.
- Brown's_representability_theorem subject Category:Homotopy_theory.
- Brown's_representability_theorem subject Category:Representable_functors.
- Brown's_representability_theorem comment "In mathematics, Brown's representability theorem in homotopy theory gives necessary and sufficient conditions for a contravariant functor F on the homotopy category Hotc of pointed connected CW complexes, to the category of sets Set, to be a representable functor.More specifically, we are givenF: Hotcop → Set,and there are certain obviously necessary conditions for F to be of type Hom(—, C), with C a pointed connected CW-complex that can be deduced from category theory alone.".
- Brown's_representability_theorem label "Brown's representability theorem".
- Brown's_representability_theorem sameAs m.043mz_.
- Brown's_representability_theorem sameAs Q4975963.
- Brown's_representability_theorem sameAs Q4975963.
- Brown's_representability_theorem wasDerivedFrom Brown's_representability_theorem?oldid=518737049.
- Brown's_representability_theorem isPrimaryTopicOf Brown's_representability_theorem.