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Full reflection of stationary sets below ℵω

  • Thomas Jech (a1) and Saharon Shelah (a2)

Abstract

It is consistent that, for every n ≥ 2, every stationary subset of ωn consisting of ordinals of cofinality ωκ, where κ = 0 or κn − 3, reflects fully in the set of ordinals of cofinality ωn−1. We also show that this result is best possible.

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[1]Jech, T., Stationary subsets of inaccessible cardinals, Axiomatic set theory (Baumgartner, J.et al., editors), Contemporary Mathematics, vol. 31, American Mathematical Society, Providence, Rhode Island, 1984, pp. 115142.
[2]Magidor, M., Reflecting stationary sets, this Journal, vol. 47 (1982), pp. 755771.
[3]Shelah, S. [Sh 247], More on stationary coding, Around classification theory of models, Lecture Notes in Mathematics, vol. 1182, Springer-Verlag, Berlin, 1986, pp. 224246.
[4]Shelah, S. [Sh 351], Reflecting stationary sets and successors of singular cardinals (to appear).

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Full reflection of stationary sets below ℵω

  • Thomas Jech (a1) and Saharon Shelah (a2)

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