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Answer by Jacob Lurie for The weak equivalences in the covariant model...
Maybe it would be helpful to think about the analogous situation in ordinary category theory. Suppose you are given a category $\mathcal{E}$ and a functor $F$ from$\mathcal{E}$ to the category of sets....
View ArticleThe weak equivalences in the covariant model structure
Let $S$ be a simplicial set. Recall that there is a model structure, called the covariant model structure (see HTT ch. 2 and this question), on $\mathbf{SSet}/S$ such that:The cofibrations are the...
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