An (∞,2)-categorical pasting theorem
Abstract
We show that any pasting diagram in any (∞,2)-category has a homotopically unique composite. This is achieved by showing that the free 2-category generated by a pasting scheme is the homotopy colimit of its cells as an (∞,2)-category. We prove this explicitly in the simplicial categories model and then explain how to deduce the model-independent statement from that calculation.
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