{ "id": "math/9305206", "version": "v1", "published": "1993-05-15T00:00:00.000Z", "updated": "1993-05-15T00:00:00.000Z", "title": "Topological partition relations to the form omega^*-> (Y)^1_2", "authors": [ "W. Wistar Comfort", "Akio Kato", "Saharon Shelah" ], "journal": "Ann. New York Acad. Sci. 704 (1993), 70--80", "categories": [ "math.LO", "math.GN" ], "abstract": "Theorem: The topological partition relation omega^{*}-> (Y)^{1}_{2} (a) fails for every space Y with |Y| >= 2^c ; (b) holds for Y discrete if and only if |Y| <= c; (c) holds for certain non-discrete P-spaces Y ; (d) fails for Y= omega cup {p} with p in omega^{*} ; (e) fails for Y infinite and countably compact.", "revisions": [ { "version": "v1", "updated": "1993-05-15T00:00:00.000Z" } ], "analyses": { "keywords": [ "topological partition relation", "omega cup", "non-discrete p-spaces", "countably compact" ], "tags": [ "journal article" ], "publication": { "doi": "10.1111/j.1749-6632.1993.tb52510.x", "journal": "Annals of the New York Academy of Sciences", "year": 1993, "month": "Dec", "volume": 704, "number": 1, "pages": 70 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1993NYASA.704...70C" } } }