good monoidal (∞,1)-category

A monoidal (∞, 1)-category SS is good if SS admits small sifted colimits, and the tensor product functor :S×SS\otimes: S \times S \to S preserves small sifted colimits.

This is (Lurie 09, def. 4.1.7). The terminology is explained in Higher Topos Theory.


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