English

A generalization of Ohkawa's theorem

Algebraic Topology 2014-05-28 v3 Category Theory

Abstract

A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. We extend this result to arbitrary combinatorial model categories.

Keywords

Cite

@article{arxiv.1203.6395,
  title  = {A generalization of Ohkawa's theorem},
  author = {Carles Casacuberta and Javier J. Gutiérrez and Jirí Rosický},
  journal= {arXiv preprint arXiv:1203.6395},
  year   = {2014}
}

Comments

13 pages; consequences in motivic homotopy theory have been added

R2 v1 2026-06-21T20:41:33.596Z