The covering numbers of Mycielski ideals are all equal

Details The covering numbers of Mycielski ideals are all equal The covering numbers of Mycielski ideals are all equal

1997-12-15

arxiv.org/abs/math/9712288v1

Mathematics

Logic

Scientific paper

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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