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 eprints
 Pub Date:
 November 2021
 DOI:
 10.48550/arXiv.2111.08653
 arXiv:
 arXiv:2111.08653
 Bibcode:
 2021arXiv211108653J
 Keywords:

 Mathematics  Algebraic Topology;
 Mathematics  Category Theory;
 Mathematics  KTheory and Homology;
 Primary: 18M65;
 Secondary: 55P42;
 18M05
 EPrint:
 24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659