Inhabitants of interesting subsets of the Bousfield lattice
| Authors |
|
|---|---|
| Publication date | 08-2018 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | Issue number | 222 | 8 |
| Pages (from-to) | 2292-2298 |
| Organisations |
|
| 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
(Final published version)
|
| Permalink to this page | |