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Stationary reflection and ideals

Published online by Cambridge University Press:  12 March 2014

Shu-Guo Zhang
Shu-Guo Zhang*
Affiliation:
Department of Mathematics, Institute of Mathematics, Sichuan University, Chengdu, Sichuan 610064, People'sRepublic of China
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Abstract

In this paper we show that if there is a weakly normal ideal on κ then for each fails. This greatly improves a theorem of C. A. Johnson.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 1 , March 1994 , pp. 182 - 184
Copyright
Copyright © Association for Symbolic Logic 1994

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References

REFERENCES

[1]Jech, T., Stationary subsets of inaccessible cardinals, Axiomatic set theory, Contemporary Mathematics (Baumgartner, J.et al., editors), vol. 31, American Mathematical Society, Providence, Rhode Island, 1984, pp. 115–142.Google Scholar
[2]Jech, T. and Shelah, S., Full reflection of stationary sets below ℵω, this Journal, vol. 55 (1990), pp. 822–830.Google Scholar
[3]Magidor, M., Reflecting stationary sets, this Journal, vol. 47 (1982), pp. 755–771.Google Scholar
[4]Johnson, C. A., On ideals and stationary reflection, this Journal, vol. 54 (1989), pp. 568–575.Google Scholar
[5]Kanamori, A., Weakly normal filters and irregular ultrafilters, Transactions of the American Mathematical Society, vol. 220 (1976), pp. 393–399.CrossRefGoogle Scholar
[6]Kanamori, A. and Magidor, M., The evolution of large cardinal axioms in set theory, Higher set theorem, Lecture Notes in Mathematics (Müller, G. H. and Scott, D., editors), vol. 699, Springer-Verlag, Berlin, 1978, pp. 99–275.Google Scholar
[7]Prikry, K., On descendingly complete ultrafilters, Cambridge summer school in mathematical logic, Lecture Notes in mathematics (Mathias, A. R. D. and Rogers, H., editors), vol. 337, Springer-Verlag, Berlin, 1973, pp. 459–488.Google Scholar
[8]Shelah, S., More on stationary coding, Around classification of models, Lecture Notes in Math., vol. 1182, Springer-Verlag, Berlin, 1986, pp. 224–246.Google Scholar
[9]Jensen, R., Donder, H. D. and Koppelberg, B., Some applications of the core model, Set theory and model theory, Lecture Notes in Mathematics (Jensen, R. and Prestel, A., editors), vol. 872, Springer-Verlag, Berlin, 1981, pp. 55–97.Google Scholar