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arxiv: math/0407225 · v4 · submitted 2004-07-13 · 🧮 math.LO

I[omega₂] can be the nonstationary ideal on Cof(omega₁)

classification 🧮 math.LO
keywords omegaconsistentkappanonstationaryanswercardinalcofinalityevery
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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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