Consistency of Menas' conjecture

Yo MATSUBARA

doi:10.2969/jmsj/04220259

Yo MATSUBARA

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 2 Pages 259-263

DOI https://doi.org/10.2969/jmsj/04220259

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Published: 1990 Received: March 07, 1989 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : Yo MATSUBABA¹⁾
Right : Yo MATSUBARA¹⁾

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) J. E. Baumgartner and A. D. Taylor, Saturation properties of ideals in generic extensions. I, Trans. Amer. Math. Soc., 270 (1982), 557-573.
2) M. Foreman, Potent axioms, Trans. Amer. Math. Soc., 86 (1986), 1-26.
3) M. Gitik, Nonsplitting subset of P_κ(κ⁺), J. Symbolic Logic, 50 (1985), 881-894.
4) D. Kueker, Countable approximations and Lowenheim-Skolem theorems, Ann. Math. Logic, 11 (1977), 57-103.
5) M. Magidor, private communication.
6) Y. Matsubara, Menas' conjecture and generic ultrapowers, Ann. Pure Appl. Logic, 36 (1987), 225-234.
7) Y. Matsubara, Splitting P_κλ into stationary subsets, J. Symbolic Logic, 53 (1988), 385-389.
8) T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1975), 327-359.
9) J. H. Silver, The consistency of the GCH with the existence of a measurable cardinal, in “Axiomatic Set Theory”. (D. Scott ed.), Proc. Sympos. Pure Math., 13 (1971), 383-390.

Right : [1] J. E. Baumgartner and A. D. Taylor, Saturation properties of ideals in generic extensions. I, Trans. Amer. Math. Soc., 270 (1982), 557-573.
[2] M. Foreman, Potent axioms, Trans. Amer. Math. Soc., 86 (1986), 1-26.
[3] M. Gitik, Nonsplitting subset of P_κ(κ⁺), J. Symbolic Logic, 50 (1985), 881-894.
[4] D. Kueker, Countable approximations and Lowenheim-Skolem theorems, Ann. Math. Logic, 11 (1977), 57-103.
[5] M. Magidor, private communication.
[6] Y. Matsubara, Menas' conjecture and generic ultrapowers, Ann. Pure Appl. Logic, 36 (1987), 225-234.
[7] Y. Matsubara, Splitting P_κλ into stationary subsets, J. Symbolic Logic, 53 (1988), 385-389.
[8] T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1975), 327-359.
[9] J. H. Silver, The consistency of the GCH with the existence of a measurable cardinal, in “Axiomatic Set Theory”, (D. Scott ed.), Proc. Sympos. Pure Math., 13 (1971), 383-390.

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