equivalences in/of $(\infty,1)$-categories
Let $\mathcal{C}$ be an (∞,1)-category. An object $x$ in $\mathcal{C}$ is said to be $h$-initial if it defines an initial object in the homotopy category $Ho(\mathcal{C})$.
Dually, an object is called $h$-terminal if it defines a terminal object in $Ho(\mathcal{C})$.
To be distinguished from the concept of initial object in an (∞,1)-category.
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