English

Flatness and Shipley's algebraicization theorem

Algebraic Topology 2020-09-09 v2

Abstract

We provide an enhancement of Shipley's algebraicization theorem which behaves better in the context of commutative algebras. This involves defining flat model structures as in Shipley and Pavlov-Scholbach, and showing that the functors still provide Quillen equivalences in this refined context. The use of flat model structures allows one to identify the algebraic counterparts of change of groups functors, as demonstrated in forthcoming work of the author.

Keywords

Cite

@article{arxiv.2001.06694,
  title  = {Flatness and Shipley's algebraicization theorem},
  author = {Jordan Williamson},
  journal= {arXiv preprint arXiv:2001.06694},
  year   = {2020}
}

Comments

24 pages. Revised version. To appear in Homology, Homotopy and Applications

R2 v1 2026-06-23T13:14:44.684Z