{ "id": "1704.04751", "version": "v1", "published": "2017-04-16T11:17:34.000Z", "updated": "2017-04-16T11:17:34.000Z", "title": "Compactness of maximal eventually different families", "authors": [ "David Schrittesser" ], "comment": "9 pages", "categories": [ "math.LO" ], "abstract": "We show that there is an effectively closed maximal eventually different family of functions in spaces of the form $\\prod_n F(n)$ for $F\\colon \\mathbb{N} \\to \\mathbb{N}\\cup\\{\\mathbb{N}\\}$ and give an exact criterion for when there exists an effectively compact such family.", "revisions": [ { "version": "v1", "updated": "2017-04-16T11:17:34.000Z" } ], "analyses": { "keywords": [ "compactness", "exact criterion", "effectively closed maximal" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }