ArticleOriginal scientific text

Title

Nonreflecting stationary subsets of Pκλ

Authors

Abstract

We explore the possibility of forcing nonreflecting stationary sets of Pκλ. We also present a Pκλ generalization of Kanamori's weakly normal filters, which induces stationary reflection.

Bibliography

  1. Y. Abe, Strongly normal ideals on Pκλ and the Sup-function, Topology Appl. 74 (1996), 97-107.
  2. Y. Abe, Combinatorial characterization of Π1_1-indescribability in Pκλ, Arch. Math. Logic 37 (1998), 261-272.
  3. A. Apter and S. Shelah, Menas' result is best possible, Trans. Amer. Math. Soc. 349 (1997), 2007-2034.
  4. D. M.Carr, A note on the λ-Shelah property, Fund. Math. 128 (1987), 197-198.
  5. D. M.Carr, J. P. Levinski and D. H. Pelletier, On the existence of strongly normal ideals on Pκλ, Arch. Math. Logic 30 (1990), 59-72.
  6. M. Gitik, Nonsplitting stationary subsets of Pκκ+, J. Symbolic Logic 50 (1985), 881-894.
  7. T. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic 5 (1973), 165-198.
  8. C. A.Johnson, Some partition relations for ideals on Pκλ, Acta Math. Hungar. 56 (1990), 269-282.
  9. A. Kanamori, Weakly normal filters and irregular ultrafilters, Trans. Amer. Math. Soc. 220 (1976), 393-399.
  10. P. Koszmider, Semimorasses and nonreflection at singular cardinals, Ann. Pure Appl. Logic 72 (1995), 1-23.
  11. P. Matet, Concerning stationary subsets of [λ]<κ, in: Set Theory and its Applications, Lecture Notes in Math. 1401, Springer, 1989, 119-127.
Pages:
55-66
Main language of publication
English
Received
1999-05-10
Published
2000
Exact and natural sciences