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

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

1993-05-15

arxiv.org/abs/math/9305206v1

Ann. New York Acad. Sci. 704 (1993), 70--80

Mathematics

Logic

Scientific paper

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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