{ "id": "1310.0409", "version": "v3", "published": "2013-10-01T17:45:32.000Z", "updated": "2014-05-09T12:34:26.000Z", "title": "On a game theoretic cardinality bound", "authors": [ "Leandro F. Aurichi", "Angelo Bella" ], "categories": [ "math.GN" ], "abstract": "The main purpose of the paper is the proof of a cardinal inequality for a space with points $G_\\delta$, obtained with the help of a long version of the Menger game. This result improves a similar one of Scheepers and Tall.", "revisions": [ { "version": "v3", "updated": "2014-05-09T12:34:26.000Z" } ], "analyses": { "keywords": [ "game theoretic cardinality bound", "main purpose", "cardinal inequality", "long version", "menger game" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.0409A" } } }