{ "id": "1702.00172", "version": "v1", "published": "2017-02-01T09:22:01.000Z", "updated": "2017-02-01T09:22:01.000Z", "title": "Adding a lot of random reals by adding a few", "authors": [ "Moti Gitik", "Mohammad Golshani" ], "categories": [ "math.LO" ], "abstract": "We study pairs $(V, V_1)$ of models of $ZFC$ such that adding $\\kappa$-many random reals over $V_1$ adds $\\lambda$-many random reals over $V$, for some $\\lambda > \\kappa.$", "revisions": [ { "version": "v1", "updated": "2017-02-01T09:22:01.000Z" } ], "analyses": { "keywords": [ "random reals", "study pairs" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }