The Covering Numbers of Mycielski Ideals are all Equal


S. Shelah and Juris Steprans

13 pages

The Mycielski ideal M_k is defined to consist of all subsets A of \omega^k such that the set {f|X: f\in A} is not equal to \omega^k for all infinite subsets X of \omega. It will be shown that the covering numbers for these ideals are all equal. However, the covering numbers of the closely associated Roslanowski ideals will be shown to be consistently different.

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