{ "id": "1206.6556", "version": "v2", "published": "2012-06-28T03:23:07.000Z", "updated": "2012-12-17T23:01:10.000Z", "title": "Absolutes of Hausdorff spaces and cardinal invariants $F_{\\te}$ and $t_{\\te}$}", "authors": [ "Filippo Cammaroto", "Andrei Catalioto", "Jack Porter" ], "comment": "This paper has been withdrawn by the author due to an error in chapter 3", "categories": [ "math.GN" ], "abstract": "This article extends the recent study of the cardinal functions $F_{\\theta}$ and $t_{\\theta}$ for H-closed Urysohn spaces and the research of I. Bandlov and V.I. Ponomarev on tightness type of absolutes. In particular, basic results are obtained and used to study the relationships among the cardinal functions $t$, $t_{\\theta}$, $F$ and $F_{\\theta}$ in the context of Iliadis and Banaschewski absolutes of Hausdorff spaces.", "revisions": [ { "version": "v2", "updated": "2012-12-17T23:01:10.000Z" } ], "analyses": { "subjects": [ "54A25", "54D10", "54D25", "54D35", "54G20" ], "keywords": [ "hausdorff spaces", "cardinal invariants", "cardinal functions", "article extends", "tightness type" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1206.6556C" } } }