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

W. Wistar Comfort·Akio Kato·Saharon Shelah
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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.

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W. Wistar Comfort, Akio Kato, Saharon Shelah. 1993-05-15. Topological partition relations to the form omega^*-> (Y)^1_2. https://doi.org/10.1111/j.1749-6632.1993.tb52510.x

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