{ "id": "1206.3703", "version": "v1", "published": "2012-06-16T20:37:14.000Z", "updated": "2012-06-16T20:37:14.000Z", "title": "Singular cardinals and strong extenders", "authors": [ "Arthur W. Apter", "James Cummings", "Joel David Hamkins" ], "comment": "8 pages", "categories": [ "math.LO" ], "abstract": "We investigate the circumstances under which there exist a singular cardinal $\\mu$ and a short $(\\kappa, \\mu)$-extender $E$ witnessing \"$\\kappa$ is $\\mu$-strong\", such that $\\mu$ is singular in $\\Ult(V, E)$.", "revisions": [ { "version": "v1", "updated": "2012-06-16T20:37:14.000Z" } ], "analyses": { "subjects": [ "03E55", "03E35", "03E45" ], "keywords": [ "singular cardinal", "strong extenders" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.3703A" } } }