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Brown's representability theorem

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.

Variants, Statement of the theorem for CW complexes & Overview

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Statement of the theorem for CW complexes

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Brown's representability theorem

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Components1

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theorem category pointed cw functor conditions connected complexes statement homotopy necessary representability set also theory given gives stated brown sufficient

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