{ "id": "0705.0504", "version": "v2", "published": "2007-05-03T17:00:08.000Z", "updated": "2007-10-23T15:31:16.000Z", "title": "Rothberger's property in finite powers", "authors": [ "Marion Scheepers" ], "comment": "14 pages typeset", "categories": [ "math.LO", "math.CO" ], "abstract": "We show that several classical Ramseyan statements, and a forcing statement, are each equivalent to having Rothberger's property in all finite powers.", "revisions": [ { "version": "v2", "updated": "2007-10-23T15:31:16.000Z" } ], "analyses": { "subjects": [ "03E02", "05C55", "05D10", "54D20" ], "keywords": [ "finite powers", "rothbergers property", "classical ramseyan statements" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0705.0504S" } } }