Topological partition relations to the form omega^*-> (Y)^1_2

W. Wistar Comfort, Akio Kato, Saharon Shelah

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 ce…