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- W2182177318 abstract "In this document we assume that Type is a univalent universe. We are typically ambiguous and universe polymorphic. Lemma 1.1. Suppose f ∶ A→ B and g ∶ B→C are functions and let c ∶C. Then there is an equivalence hFiber(g○ f ,c) ≃∑(w ∶ hFiber(g,c)), hFiber( f ,proj1w). with underlying function λ ⟨a, p⟩.⟨⟨g(a), p⟩,⟨a, idg(a)⟩⟩. Also, if f ,g ∶ A→ B are homotopic then hFiber( f ,b) ≃ hFiber(g,b) for every b ∶B. The underlying function of this equivalence is λ ⟨a, p⟩.⟨a, p●H(a)−1⟩, where H ∶ f ∼ g is the" @default.
- W2182177318 created "2016-06-24" @default.
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- W2182177318 date "2013-01-01" @default.
- W2182177318 modified "2023-09-27" @default.
- W2182177318 title "Orthogonal factorization systems in homotopy type theory á" @default.
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