English

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.

Keywords

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

R2 v1 2026-06-23T11:24:47.807Z