Multicategories Model All Connective Spectra
Algebraic Topology
2023-03-24 v2 Category Theory
K-Theory and Homology
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.
Cite
@article{arxiv.2111.08653,
title = {Multicategories Model All Connective Spectra},
author = {Niles Johnson and Donald Yau},
journal= {arXiv preprint arXiv:2111.08653},
year = {2023}
}
Comments
24 pages. To appear in Homology, Homotopy, and Applications. We discuss multifunctoriality of the free construction in arXiv:2202.13659