Unfinished stuff.
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@ -79,6 +79,14 @@ namespace homology
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}
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end
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definition Hfwehce (n : ℤ) {I : Set} (X : I → Type*): HH theory n (⋁ X) ≃g dirsum (λi, HH theory n (X i)) :=
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(isomorphism.mk _ (Hadditive theory n X))⁻¹ᵍ
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definition Hpwedge (n : ℤ) (A B : Type*) : HH theory n (pwedge A B) ≃g HH theory n A ×g HH theory n B :=
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calc HH theory n (pwedge A B) ≃g HH theory n (fwedge (bool.rec A B)) : by exact sorry
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... ≃g dirsum (λb, HH theory n (bool.rec A B b)) : by exact sorry
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... ≃g HH theory n A ×g HH theory n B : by exact sorry
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end
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/- homology theory associated to a spectrum -/
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