Inhabitants of interesting subsets of the Bousfield lattice

Authors
  • A.D. Brooke-Taylor
  • B. Löwe
  • B. Richter
Publication date 08-2018
Journal Journal of Pure and Applied Algebra
Volume | Issue number 222 | 8
Pages (from-to) 2292-2298
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract In 1979, Bousfield defined an equivalence relation on the stable homotopy category. The set of Bousfield classes has some important subsets such as the distributive lattice DL of all classes 〈E〉 which are smash idempotent and the complete Boolean algebra cBA of closed classes. We provide examples of spectra that are in DL, but not in cBA; in particular, for every prime p, the Bousfield class of the Eilenberg–MacLane spectrum 〈HFp〉 is in DL∖cBA.
Document type Article
Language English
Published at https://doi.org/10.1016/j.jpaa.2017.09.012
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