The covering numbers of Mycielski ideals are all equal

by Shelah and Steprans. [ShSr:665]
J Symbolic Logic, 2001
The Mycielski ideal M_k is defined to consist of all sets A subseteq k^omega such that {f restriction X: f in A} not= k^X for all X in [omega]^{aleph_0} . 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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