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Nov 6, 2013 at 15:44 comment added Omar Antolín-Camarena @JesseWolfson: if you talk about pushouts of functors, the pushouts should be taken in some category whose objects are functors. If your didn't mean pushouts of functors, you might want to clarify your question.
Nov 6, 2013 at 5:47 comment added Jesse Wolfson Tom, thanks for your answer. I'm trying to understand this question in the context of homotopy pushouts in the $\infty$-category of $\infty$-categories. Your answer describes homotopy pushouts in the $\infty$-category of maps between a given pair of $\infty$-categories, which seems to be something different.
Nov 6, 2013 at 1:47 history answered Tom Goodwillie CC BY-SA 3.0