Brown's representability theorem (Q6482055)

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theorem in homotopy theory that a set-valued contravariant functor on the homotopy category of connected pointed CW-complexes is representable iff it maps wedge sums to product and homotopy pushouts to weak pullbacks
  • Brown representability theorem
Language Label Description Also known as
English
Brown's representability theorem
theorem in homotopy theory that a set-valued contravariant functor on the homotopy category of connected pointed CW-complexes is representable iff it maps wedge sums to product and homotopy pushouts to weak pullbacks
  • Brown representability theorem

Statements

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(B:F=[,B])(F(iXi)iF(Xi))Mayer-Vietoris
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Identifiers

64537164
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Brown representability theorem
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/m/043mz_
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