{ "id": "1211.1363", "version": "v1", "published": "2012-11-06T20:02:06.000Z", "updated": "2012-11-06T20:02:06.000Z", "title": "The Homogeneous Property of the Hilbert Cube", "authors": [ "Denise M. Halverson", "David G. Wright" ], "comment": "11 pages, 5 figures", "categories": [ "math.GT", "math.GN" ], "abstract": "We demonstrate the homogeneity of the Hilbert Cube. In particular, we construct explicit self-homeomorphisms of the Hilbert cube so that given any two points, a homeomorphism moving one to the other may be realized.", "revisions": [ { "version": "v1", "updated": "2012-11-06T20:02:06.000Z" } ], "analyses": { "subjects": [ "57N20", "54B10" ], "keywords": [ "hilbert cube", "homogeneous property", "construct explicit self-homeomorphisms", "demonstrate" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.1363H" } } }