Modelling Connective Spectra via Multicategories
Algebraic Topology
2019-09-26 v1 K-Theory and Homology
Abstract
We put a model structure on a full subcategory of based multicategories in which the weak equivalences are created by the K-theory functor of Elmendorf-Mandell, providing a model categorical lift of Thomason's theorem on the modeling of connective spectra by symmetric monoidal categories. We note that this lifts to a semi-modelstructure on based multicategories itself. As a corollary we show that to model connective spectra up to stable equivalence it suffices to restrict to symmetric monoidal groupoids.
Cite
@article{arxiv.1909.11148,
title = {Modelling Connective Spectra via Multicategories},
author = {Daniel Fuentes-Keuthan},
journal= {arXiv preprint arXiv:1909.11148},
year = {2019}
}
Comments
21 pages