Topological partition relations to the form omega^*-> (Y)^1_2
Logic
2015-06-26 v1 General Topology
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.
Keywords
Cite
@article{arxiv.math/9305206,
title = {Topological partition relations to the form omega^*-> (Y)^1_2},
author = {W. Wistar Comfort and Akio Kato and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9305206},
year = {2015}
}