Saturation of fundamental ideals on Pkλ

Yoshihiro ABE

doi:10.2969/jmsj/04830511

Saturation of fundamental ideals on P_kλ

Yoshihiro ABE

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JOURNAL FREE ACCESS

1996 Volume 48 Issue 3 Pages 511-524

DOI https://doi.org/10.2969/jmsj/04830511

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Published: 1996 Received: March 24, 1994 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: CITATION Details: Wrong : 1) Y. Abe, Weakly normal ideals on P_kλ and the singular cardinal hypothesis, Fund. Math., 143 (1993), 97-106.
2) D. M. Carr, The structure of ineffability properties of P_kλ, Acta Math. Hungar.,47 (1986), 325-332.
3) D. M. Carr, P_kλ partition relations, Fund. Math., 128 (1987), 181-195.
4) D. M. Carr, J. P. Levinski and D. H. Pelletier, On the existence of strongly normal ideals over P_kλ, Arc. Math. Logic, 30 (1990), 59-72.
5) M. Foreman, Potent axioms, Trans. Amer. Math. Soc., 294 (1986), 1-28.
6) T. J. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic, 5 (1973), 165-198.
7) C. A. Johnson, On saturated ideals and P_kλ, Fund. Math., 129 (1988), 215-221.
8) C. A. Johnson, Some partition relations for ideals on P_kλ, Acta Math. Hungar., 56 (1990), 269-282.
9) S. Kamo, Remarks on P_kλ-combinatorics, Fund. Math., 145 (1994), 141-151.
10) P. Matet, Concerning stationary subsets of [λ)<^k, Set Theory and its applications, (eds. Steprans and Watson), Lecture Notes in Math., 1401, Springer, Berlin, 1989.
11) Y. Matsubara, Menas' conjecture and generic ultrapowers, Ann. Pure Appl. Logic, 36 (1987), 225-234.
12) Y. Matsubara, Splitting P_kλ into stationary subsets, J. Symbolic Logic, 53(2) (1988), 385-389.
13) T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1974), 327-359.
14) R. M. Solovay, Strongly compact cardinals and the GCH, in Proc. Tarski Symposium, Proc. Sympos. Pure Math., 25 (1974), 365-372.

Right : [1] Y. Abe, Weakly normal ideals on P_kλ and the singular cardinal hypothesis, Fund. Math., 143 (1993), 97-106.
[2] D. M. Carr, The structure of ineffability properties of P_kλ, Acta Math. Hungar.,47 (1986), 325-332.
[3] D. M. Carr, P_kλ partition relations, Fund. Math., 128 (1987), 181-195.
[4] D. M. Carr, J. P. Levinski and D. H. Pelletier, On the existence of strongly normal ideals over P_kλ, Arc. Math. Logic, 30 (1990), 59-72.
[5] M. Foreman, Potent axioms, Trans. Amer. Math. Soc., 294 (1986), 1-28.
[6] T. J. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic, 5 (1973), 165-198.
[7] C. A. Johnson, On saturated ideals and P_kλ, Fund. Math., 129 (1988), 215-221.
[8] C. A. Johnson, Some partition relations for ideals on P_kλ, Acta Math. Hungar., 56 (1990), 269-282.
[9] S. Kamo, Remarks on P_kλ-combinatorics, Fund. Math., 145 (1994), 141-151.
[10] P. Matet, Concerning stationary subsets of [λ)<^k, Set Theory and its applications, (eds. Steprans and Watson), Lecture Notes in Math., 1401, Springer, Berlin, 1989.
[11] Y. Matsubara, Menas' conjecture and generic ultrapowers, Ann. Pure Appl. Logic, 36 (1987), 225-234.
[12] Y. Matsubara, Splitting P_kλ into stationary subsets, J. Symbolic Logic, 53(2) (1988), 385-389.
[13] T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1974), 327-359.
[14] R. M. Solovay, Strongly compact cardinals and the GCH, in Proc. Tarski Symposium, Proc. Sympos. Pure Math., 25 (1974), 365-372.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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