Multicategories Model All Connective Spectra
arXiv:2111.08653 · doi:10.4310/HHA.2023.v25.n1.a8
Abstract
There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categories model all connective spectra.
24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659