arXiv Analytics

Sign in

arXiv:math/9305206 [math.LO]AbstractReferencesReviewsResources

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

W. Wistar Comfort, Akio Kato, Saharon Shelah

Published 1993-05-15Version 1

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.

Journal: Ann. New York Acad. Sci. 704 (1993), 70--80
Categories: math.LO, math.GN
Related articles:
arXiv:1410.2520 [math.LO] (Published 2014-10-09)
The topological pigeonhole principle for ordinals
arXiv:2008.01225 [math.LO] (Published 2020-08-03)
An Inconsistent Forcing Axiom at $ω_2$

Links

Toolbox