Highly Influential

@inproceedings{Mildenberger2004JuL2, title={Ju l 2 00 4 COVERING THE BAIRE SPACE BY FAMILIES WHICH ARE NOT FINITELY DOMINATING}, author={Heike Mildenberger and Saharon Shelah and Boaz Tsaban}, year={2004} }

- Published 2004

It is consistent (relative to ZFC) that the union of max{b, g} many families in the Baire space ω which are not finitely dominating is not dominating. In particular, it is consistent that for each nonprincipal ultrafilter U , the cofinality of the reduced ultrapower ω/U is greater than max{b, g}. The model is constructed by oracle chain condition forcing… CONTINUE READING

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