Exercise 1.5.14. Show that a functor \(F\colon C \to D\) is an equivalence if and only if the induced functor \[ F_*\colon \Map ([1],C) \to \Map ([1],D) \] is an equivalence.
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Stable homotopy theory and higher algebra · Exercise 1.5.14
Exercise 1.5.14. Show that a functor \(F\colon C \to D\) is an equivalence if and only if the induced functor \[ F_*\colon \Map ([1],C) \to \Map ([1],D) \] is an equivalence.
Generated from the authoritative LaTeX source.