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.

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

Created on January 3, 2015 at 17:12:25. See the history of this page for a list of all contributions to it.