Canonical structure in the universe of set theory: part two

@article{Cummings2006CanonicalSI,
  title={Canonical structure in the universe of set theory: part two},
  author={James Cummings and Matthew Foreman and Menachem Magidor},
  journal={Ann. Pure Appl. Logic},
  year={2006},
  volume={142},
  pages={55-75}
}
We start by studying the relationship between two invariants isolated by Shelah, the sets of good and approachable points. As part of our study of these invariants, we prove a form of “singular cardinal compactness” for Jensen’s square principle. We then study the relationship between internally approachable and tight structures, which parallels to a certain extent the relationship between good and approachable points. In particular we characterize the tight structures in terms of PCF theory… CONTINUE READING

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