{ "id": "math/0104072", "version": "v1", "published": "2001-04-06T13:55:47.000Z", "updated": "2001-04-06T13:55:47.000Z", "title": "More on mutual stationarity", "authors": [ "Ralf Schindler" ], "comment": "7 pages", "categories": [ "math.LO" ], "abstract": "Extending a result of Foreman and Magidor we prove that in the core model for almost linear iterations the following holds. There is a sequence (S^n_\\alpha : n<\\omega,\\alpha>0) such that each individual S^n_\\alpha is a stationary subset of \\aleph_{\\alpha+1} consisting of points of cofinality \\omega_1, and for all limits \\lambda and for all f:\\lambda -> \\omega do we have that (S^{f(\\alpha)}_\\alpha : \\alpha<\\lambda) is mutually stationary if and only if the range of f is finite.", "revisions": [ { "version": "v1", "updated": "2001-04-06T13:55:47.000Z" } ], "analyses": { "subjects": [ "03E45" ], "keywords": [ "mutual stationarity", "core model", "linear iterations", "stationary subset", "individual" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......4072S" } } }