{"paper":{"title":"Inhabitants of interesting subsets of the Bousfield lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Andrew Brooke-Taylor, Benedikt L\\\"owe, Birgit Richter","submitted_at":"2017-02-10T16:35:31Z","abstract_excerpt":"The set of Bousfield classes has some important subsets such as the distributive lattice $\\mathbf{DL}$ of all classes $\\langle E\\rangle$ which are smash idempotent and the complete Boolean algebra $\\mathbf{cBA}$ of closed classes. We provide examples of spectra that are in $\\mathbf{DL}$, but not in $\\mathbf{cBA}$; in particular, for every prime $p$, the Bousfield class of the Eilenberg-MacLane spectrum $\\langle H\\mathbb{F}_p\\rangle\\in\\mathbf{DL}{\\setminus}\\mathbf{cBA}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03245","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}