{ "id": "math/0601556", "version": "v4", "published": "2006-01-23T16:53:45.000Z", "updated": "2010-10-31T20:37:18.000Z", "title": "Games in Banach spaces", "authors": [ "Jakub Duda", "Boaz Tsaban" ], "comment": "Submitted version; only pdf version works (use pdflatex on the sourcefile)", "journal": "Topology and its Applications 156 (2008), 56-60", "doi": "10.1016/j.topol.2008.04.009", "categories": [ "math.FA", "math.LO" ], "abstract": "The notion of Aronszajn-null sets generalizes the notion of Lebesgue measure zero on the real line and the Euclidean space to infinite dimensional Banach spaces. We present a game-theoretic approach to Aronszajn-null sets, establish its basic properties, and discuss the ensuing open problems.", "revisions": [ { "version": "v4", "updated": "2010-10-31T20:37:18.000Z" } ], "analyses": { "keywords": [ "infinite dimensional banach spaces", "aronszajn-null sets generalizes", "lebesgue measure zero", "ensuing open problems", "basic properties" ], "tags": [ "journal article" ], "note": { "typesetting": "PDFLaTeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1556D" } } }