very commutative object

under constrution

Given a symmetric monoidal (∞,1)-category $\mathcal{C}$ then one may consider E-∞ space-objects inside it.

If the monoidal structure happens to be Cartesian then one may ask for “more” commutativity than that. Jacob Lurie called that “very commutative” (MO comment)

(should come down to whether one interprets commutativiye monoids as a 1-algebraic theory or an (∞,1)-algebraic theory, i.e. (2,1)-algebraic theory of E-infinity algebras)

Created on August 26, 2014 at 10:06:13. See the history of this page for a list of all contributions to it.