{ "id": "1612.04386", "version": "v1", "published": "2016-12-13T21:00:38.000Z", "updated": "2016-12-13T21:00:38.000Z", "title": "On the Bousfield classes of $H_\\infty$-ring spectra", "authors": [ "Jeremy Hahn" ], "categories": [ "math.AT" ], "abstract": "We prove that any K(n)-acyclic, $H_\\infty$-ring spectrum is K(n+1)-acyclic, affirming an old conjecture of Mark Hovey.", "revisions": [ { "version": "v1", "updated": "2016-12-13T21:00:38.000Z" } ], "analyses": { "keywords": [ "ring spectrum", "bousfield classes", "old conjecture" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }