{ "id": "2204.12203", "version": "v1", "published": "2022-04-26T10:13:56.000Z", "updated": "2022-04-26T10:13:56.000Z", "title": "Lower bounds of sets of P-points", "authors": [ "Borisa Kuzeljevic", "Dilip Raghavan", "Jonathan L. Verner" ], "categories": [ "math.LO" ], "abstract": "We show that $\\mathrm{MA}_{\\kappa}$ implies that each collection of ${P}_{\\mathfrak c}$-points of size at most $\\kappa$ which has a $P_{\\mathfrak c}$-point as an $RK$ upper bound also has a ${P}_{\\mathfrak c}$-point as an $RK$ lower bound.", "revisions": [ { "version": "v1", "updated": "2022-04-26T10:13:56.000Z" } ], "analyses": { "keywords": [ "lower bound", "upper bound" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }