Multicategories Model All Connective Spectra
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2021
- DOI:
- 10.48550/arXiv.2111.08653
- arXiv:
- arXiv:2111.08653
- Bibcode:
- 2021arXiv211108653J
- Keywords:
-
- Mathematics - Algebraic Topology;
- Mathematics - Category Theory;
- Mathematics - K-Theory and Homology;
- Primary: 18M65;
- Secondary: 55P42;
- 18M05
- E-Print:
- 24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659