{ "id": "math/9712270", "version": "v1", "published": "1997-12-01T00:00:00.000Z", "updated": "1997-12-01T00:00:00.000Z", "title": "Luzin and anti-Luzin almost disjoint families", "authors": [ "Judith Roitman", "Lajos Soukup" ], "categories": [ "math.LO" ], "abstract": "Under MA_{omega_1} every uncountable almost disjoint family is either anti-Luzin or has an uncountable Luzin subfamily. This fails under CH. Related properties are also investigated.", "revisions": [ { "version": "v1", "updated": "1997-12-01T00:00:00.000Z" } ], "analyses": { "keywords": [ "disjoint family", "anti-luzin" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1997math.....12270R" } } }