{ "id": "1611.06268", "version": "v1", "published": "2016-11-18T22:40:23.000Z", "updated": "2016-11-18T22:40:23.000Z", "title": "An Observation on Initially $κ$-Compact Spaces", "authors": [ "Çetin Vural" ], "comment": "4 pages", "categories": [ "math.GN" ], "abstract": "In \\cite{Chaber}, Chaber has proved that countably compact spaces with a quasi $G_{\\delta }$-diagonal are compact. We prove that initially $\\kappa $% -compact spaces with a quasi $G_{\\kappa }$-diagonal are compact, for any infinite cardinal $\\kappa .", "revisions": [ { "version": "v1", "updated": "2016-11-18T22:40:23.000Z" } ], "analyses": { "subjects": [ "54D20", "54D30", "54A25", "22C05" ], "keywords": [ "observation", "infinite cardinal", "countably compact spaces" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }