{ "id": "math/9904163", "version": "v1", "published": "1999-04-29T01:23:26.000Z", "updated": "1999-04-29T01:23:26.000Z", "title": "Towards Martin's Minimum", "authors": [ "Tomek Bartoszynski", "Andrzej Roslanowski" ], "journal": "Arch. Math. Logic 41 (2002) 65-82", "categories": [ "math.LO" ], "abstract": "We show that it is consistent with MA + the negation of CH, that the Forcing Axiom fails for all forcing notions in the class of omega^omega-bounding forcing notions with norms of \"Norms on possibilities I: forcing with trees and creatures\"(by Roslanowski and Shelah - math.LO/9807172).", "revisions": [ { "version": "v1", "updated": "1999-04-29T01:23:26.000Z" } ], "analyses": { "subjects": [ "03E35", "03E40", "03E05" ], "keywords": [ "martins minimum", "forcing notions", "forcing axiom fails", "consistent", "possibilities" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......4163B" } } }