{ "id": "1004.2083", "version": "v3", "published": "2010-04-13T00:25:18.000Z", "updated": "2011-07-22T20:50:02.000Z", "title": "The character spectrum of beta(N)", "authors": [ "Saharon Shelah" ], "categories": [ "math.GN", "math.LO" ], "abstract": "We show the consistency of: the set of regular cardinals which are the character of some ultrafilter on omega can be quite chaotic, in particular not only can be not convex but can have many gaps. We also deal with the set of pi-characters of ultrafilters on omega.", "revisions": [ { "version": "v3", "updated": "2011-07-22T20:50:02.000Z" } ], "analyses": { "keywords": [ "character spectrum", "quite chaotic", "regular cardinals", "ultrafilter" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1004.2083S" } } }