{ "id": "2211.16545", "version": "v1", "published": "2022-11-29T19:12:49.000Z", "updated": "2022-11-29T19:12:49.000Z", "title": "Some realcompact spaces", "authors": [ "Alan Dow", "Jan van Mill", "Klaas Pieter Hart", "Hans Vermeer" ], "categories": [ "math.GN" ], "abstract": "We present examples of realcompact spaces with closed subsets that are C*-embedded but not C-embedded, including one where the closed set is a copy of the space of natural numbers.", "revisions": [ { "version": "v1", "updated": "2022-11-29T19:12:49.000Z" } ], "analyses": { "subjects": [ "54D60", "54D80", "54G05", "54G20" ], "keywords": [ "realcompact spaces", "natural numbers", "closed set" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }