nLab good monoidal (∞,1)-category

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

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

References

• Jacob Lurie, section 4.1 of On the Classification of Topological Field Theories (arXiv:0905.0465)