I[omega_2] can be the nonstationary ideal on Cof(omega_1)

Details I[omega_2] can be the nonstationary ideal on Cof(omega_1) I[omega_2] can be the nonstationary ideal on Cof(omega_1)

2004-07-13

arxiv.org/abs/math/0407225v4

Mathematics

Logic

version 4 of the paper has been extensively revised in response to the referee report from TAMS. I expect it to appear in TAMS

Scientific paper

We answer a question of Shelah by showing that it is consistent that every
set of ordinals of cofinality omega_1 in I[omega_2] is nonstationary if and
only if it is consistent that that there is a kappa^+ Mahlo cardinal kappa.

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