Multifunctorial Inverse -Theory
arXiv:2109.01430 · doi:10.2140/akt.2022.7.507
Abstract
We show that Mandell's inverse -theory functor is a categorically-enriched non-symmetric multifunctor. In particular, it preserves algebraic structures parametrized by non-symmetric operads. As applications, we describe how ring categories arise as the images of inverse -theory.
36 pages. Final version. To appear in Annals of K-Theory