English

On the Bousfield classes of $H_\infty$-ring spectra

Algebraic Topology 2022-07-21 v2

Abstract

We prove that any K(n)-acyclic, DpD_p-ring spectrum is K(n+1)-acyclic, affirming an old conjecture of Mark Hovey.

Keywords

Cite

@article{arxiv.1612.04386,
  title  = {On the Bousfield classes of $H_\infty$-ring spectra},
  author = {Jeremy Hahn},
  journal= {arXiv preprint arXiv:1612.04386},
  year   = {2022}
}

Comments

Major revision. Slightly strengthened the main theorems, improved exposition, and fixed a significant error. Comments always welcome