Adding clubs with square

@article{Krueger2006AddingCW,
  title={Adding clubs with square},
  author={John Krueger},
  journal={Ann. Pure Appl. Logic},
  year={2006},
  volume={141},
  pages={1-28}
}
We present a technique for destroying stationary subsets of Pκκ using partial square sequences. We combine this method with Gitik’s poset for changing the cofinality of a cardinal without adding bounded sets to prove a variety of consistency results concerning saturated ideals and the set S(κ, κ+). In this paper we continue our study of consistency results concerning the set S(κ, κ) = {a ∈ Pκκ : o.t.(a) = (a ∩ κ)} from [5] and [6]. We present a method for destroying the stationarity of certain… CONTINUE READING

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