{ "id": "0811.1325", "version": "v1", "published": "2008-11-09T09:42:08.000Z", "updated": "2008-11-09T09:42:08.000Z", "title": "Asymptotic dimension of proper CAT(0) spaces which are homeomorphic to the plane", "authors": [ "Naotsugu Chinen", "Tetsuya Hosaka" ], "categories": [ "math.GT", "math.GR" ], "abstract": "In this paper, we investigate a proper CAT(0) space $(X,d)$ which is homeomorphic to $R^2$ and we show that the asymptotic dimension $asdim (X,d)$ is equal to 2.", "revisions": [ { "version": "v1", "updated": "2008-11-09T09:42:08.000Z" } ], "analyses": { "subjects": [ "20F69", "54F45", "20F65" ], "keywords": [ "proper cat", "asymptotic dimension", "homeomorphic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0811.1325C" } } }