Topological partition relations to the form omega*-> (Y)12
W. Wistar Comfort, Akio Kato, Saharon Shelah
Abstract
Theorem: The topological partition relation omega*-> (Y)12 (a) fails for every space Y with |Y| >= 2c ; (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.
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