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By the way, does nLab have an established notation for localization of $\infty$-categories? I’m uncomfortable with $C[W^{-1}]$ due to the risk of that being interpreted as the localization of 1-categories.
@Hurkyl #6,
I like to use “$L_W$”, following/alluding to standard (?) notation for Dwyer-Kan simplicial localizations, such as Hammock localization “$L^H_W$”.
$L_W(C)$ or $L(C,W)$? I guess the difference is whether you are in a context viewing $C$ or $(C,W)$ as the primary object of interest. I’ve switched over the notation.
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