{ "id": "1106.4135", "version": "v1", "published": "2011-06-21T08:44:49.000Z", "updated": "2011-06-21T08:44:49.000Z", "title": "Uniform bases at non-isolated points and maps", "authors": [ "Fucai Lin", "Shou Lin" ], "comment": "9 pages", "journal": "Houston Journal. Math., 37(2)(2011), 677--688", "categories": [ "math.GN" ], "abstract": "In this paper, the authors mainly discuss the images of spaces with an uniform base at non-isolated points, and obtain the following main results: (1)\\ Perfect maps preserve spaces with an uniform base at non-isolated points; (2)\\ Open and closed maps preserve regular spaces with an uniform base at non-isolated points; (3)\\ Spaces with an uniform base at non-isolated points don't satisfy the decomposition theorem.", "revisions": [ { "version": "v1", "updated": "2011-06-21T08:44:49.000Z" } ], "analyses": { "subjects": [ "54C10", "54D70", "54E30", "54E40" ], "keywords": [ "uniform base", "perfect maps preserve spaces", "closed maps preserve regular spaces", "non-isolated points dont satisfy" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1106.4135L" } } }