Brown's representability theorem (Q6482055)

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