{ "id": "2304.01398", "version": "v1", "published": "2023-03-28T09:32:36.000Z", "updated": "2023-03-28T09:32:36.000Z", "title": "Decreasing chains without lower bounds in Rudin-Frolík order for regulars", "authors": [ "Joanna Jureczko" ], "comment": "arXiv admin note: substantial text overlap with arXiv:2304.00097", "categories": [ "math.LO" ], "abstract": "The aim of this paper is to prove that for there exist a chain in the Rudin-Frol\\'ik order of $\\beta\\kappa\\setminus \\kappa$ of length $\\mu$ with $\\kappa \\leqslant \\mu \\leqslant 2^\\kappa$ for regular $\\kappa> \\omega$ without a lower bound.", "revisions": [ { "version": "v1", "updated": "2023-03-28T09:32:36.000Z" } ], "analyses": { "keywords": [ "lower bound", "rudin-frolík order", "decreasing chains" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }