The covering number for category and partition relations on $P_{\omega} (\lambda )$
Volume 171 / 2002
Fundamenta Mathematicae 171 (2002), 235-247
MSC: 03E02, 03E17.
DOI: 10.4064/fm171-3-4
Abstract
We show that $\mathop {\rm cov} (M)$ is the least infinite cardinal $\lambda $ such that $P_\omega (\lambda )$ (the set of all finite subsets of $\lambda $) fails to satisfy a certain natural generalization of Ramsey's Theorem.
