Covering the Baire space by families which are not finitely dominating

Details Covering the Baire space by families which are not finitely dominating Covering the Baire space by families which are not finitely dominating

2004-07-28

arxiv.org/abs/math/0407487v4

Annals of Pure and Applied Logic 140 (2006), 60--71

Mathematics

Logic

Small updates

Scientific paper

10.1016/j.apal.2005.09.008

It is consistent (relative to ZFC) that the union of max{b,g} many families in the Baire space 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 w^w/U is greater than max{b,g}. The model is constructed by oracle chain condition forcing, to which we give a self-contained introduction.

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