{ "id": "1110.1003", "version": "v1", "published": "2011-10-05T14:29:39.000Z", "updated": "2011-10-05T14:29:39.000Z", "title": "Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces", "authors": [ "Sergey Medvedev" ], "categories": [ "math.GN" ], "abstract": "Denote by Q(k) a \\sigma-discrete metric weight-homogeneous space of weight k. We give an internal description of the space Q(k)^\\omega. We prove that the Baire space B(k) is densely homogeneous with respect to Q(k)^\\omega if k > \\omega. Properties of some non-separable h-homogeneous absolute F_{\\sigma \\delta}-sets and G_{\\delta \\sigma}-sets are investigated.", "revisions": [ { "version": "v1", "updated": "2011-10-05T14:29:39.000Z" } ], "analyses": { "subjects": [ "54H05", "54F65", "54E52", "03E15" ], "keywords": [ "non-separable h-homogeneous absolute", "metric weight-homogeneous space", "internal description", "baire space" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1110.1003M" } } }