{ "id": "1601.03798", "version": "v1", "published": "2016-01-15T02:33:01.000Z", "updated": "2016-01-15T02:33:01.000Z", "title": "Metrizable DH-spaces with a dense complete subset", "authors": [ "Sergey Medvedev" ], "comment": "6 pages", "categories": [ "math.GN" ], "abstract": "It is proved that for an h-homogeneous space X the following conditions are equivalent: 1) X is a densely homogeneous space with a dense complete subspace; 2) X is $\\sigma$-discretely controlled.", "revisions": [ { "version": "v1", "updated": "2016-01-15T02:33:01.000Z" } ], "analyses": { "subjects": [ "54H05", "54E52" ], "keywords": [ "dense complete subset", "metrizable dh-spaces", "dense complete subspace", "equivalent" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160103798M" } } }