{ "id": "1310.3250", "version": "v1", "published": "2013-10-11T19:17:41.000Z", "updated": "2013-10-11T19:17:41.000Z", "title": "$Σ^1_2$ and $Π^1_1$ mad families", "authors": [ "Asger Törnquist" ], "comment": "This will appear in the Journal of Symbolic Logic (March 2014)", "categories": [ "math.LO" ], "abstract": "We answer in the affirmative the following question of J\\\"org Brendle: If there is a $\\Sigma^1_2$ mad family, is there then a $\\Pi^1_1$ mad family?", "revisions": [ { "version": "v1", "updated": "2013-10-11T19:17:41.000Z" } ], "analyses": { "subjects": [ "03E15" ], "keywords": [ "mad family" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.3250T" } } }