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A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.

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Identifying discrete points in derived hom spaces

Let M be a model category presenting an ∞-category $\mathcal{M}$, and let $f : X \to Y$ and $g : Y \to Z$ be arrows of M. Consider the following propositions: The connected component of $f$ in $\mat …
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