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The consistency strength of an infinitary Ramsey property

Published online by Cambridge University Press:  12 March 2014

George Kafkoulis
George Kafkoulis*
Affiliation:
Department of Mathematics, Florida International University, University Park, Miami, Florida 33199, E-mail: kafkouli@fiu.edu
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Abstract

In this paper we study the consistency strength of the theory

and we prove the consistency of this theory relative to the consistency of the existence of a supercompact cardinal and an inaccessible above it.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 4 , December 1994 , pp. 1158 - 1195
Copyright
Copyright © Association for Symbolic Logic 1994

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References

REFERENCES

[Apter]Apter, A., An AD-like model, this Journal, vol. 50 (1985), pp. 531–543.Google Scholar
[Jech]Jech, T., Set theory, Academic Press, New York, 1978.Google Scholar
[Kunen]Kunen, K., Set theory, North-Holland, Amsterdam, 1980.Google Scholar
[Laver]Laver, R., Making the supercompactness of κ indestructible κ-directed closed partial orderings, Israel Journal of Mathematics, vol. 29 (1978), pp. 385–388.CrossRefGoogle Scholar
[Mag]Magidor, M., On the singular cardinals problem I, Israel Journal of Mathematics, vol. 28 (1977), pp. 1–31.CrossRefGoogle Scholar
[Mathias]Mathias, A. R. D., On sequences in the sense of Prikry, Journal of the Australian Mathematical Society, vol. 15 (1973), pp. 409–414.CrossRefGoogle Scholar
[Menas]Menas, T. K., On strong compactness and supercompactness, Annals of Mathematical Logic, vol. 7 (1975), pp. 327–359.CrossRefGoogle Scholar
[Prik]Prikry, K., Changing measurable into accessible cardinals, Dissertationes Mathematicae, vol. LXVII (1970), pp. 1–55.Google Scholar