Ineffability and partition property on Pκλ

Shizuo KAMO

doi:10.2969/jmsj/04910125

Ineffability and partition property on P_κλ

Shizuo KAMO

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JOURNAL FREE ACCESS

1997 Volume 49 Issue 1 Pages 125-143

DOI https://doi.org/10.2969/jmsj/04910125

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Published: 1997 Received: August 29, 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: TITLE Details: Wrong : Ineffability and partition property on P_Kλ
Right : Ineffability and partition property on P_κλ

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Y. Abe, Notes on P_κλ and [λ)^κ, Tsukuba J. Math., 10 (1986), 155-163.
2) Y. Abe, Combinatoric on P_κλ, private communication.
3) D. M. Carr, The minimal normal filter on P_κλ, Proc. Amer. Math. Soc., 86 (1982), 316-320.
4) D. M. Carr, The structure of ineffability properties of P_κλ, Acta Math. Hungar., 47 (1986), 325-332.
5) D. M. Carr, P_κλ partition relations, Fund. Math., 128 (1987), 181-195.
6) D. M. Carr and D. H. Pelletier, Towards a structure theory for ideals on P_κλ, In Set Theory and its Applications, (eds. J. Steprans and S. Watson), Lecture Notes in Math., 1401, Springer-Verlag, 1987, pp. 41-54.
7) P. Erdös and A. Hajnal, On a problem of Jónsson, Bulletin de l'Acadeémie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques, 14 (1966), 19-23.
8) T. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic, 5 (1973), 165-198.
9) C. A. Johnson, Some partition relations for ideals on P_κλ, Acta Math. Hungar., 56 (1990), 269-282.
10) S. Kamo, Remarks on P_κλ-combinatorics, Fund. Math., 145 (1994), 141-151.
11) M. Magidor, Combinatorial characterization of supercompact cardinals, Proc. Amer. Math. Soc., 49 (1974), 279-285.
12) T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1974), 327-359.
13) T. K. Menas, A combinatorial property of P_κλ, J. Symbolic Logic, 41 (1976), 225-234.

Right : [1] Y. Abe, Notes on P_κλ and [λ]^κ, Tsukuba J. Math., 10 (1986), 155-163.
[2] Y. Abe, Combinatoric on P_κλ, private communication.
[3] D. M. Carr, The minimal normal filter on P_κλ, Proc. Amer. Math. Soc., 86 (1982), 316-320.
[4] D. M. Carr, The structure of ineffability properties of P_κλ, Acta Math. Hungar., 47 (1986), 325-332.
[5] D. M. Carr, P_κλ partition relations, Fund. Math., 128 (1987), 181-195.
[6] D. M. Carr and D. H. Pelletier, Towards a structure theory for ideals on P_κλ, In Set Theory and its Applications, (eds. J. Steprans and S. Watson), Lecture Notes in Math., 1401, Springer-Verlag, 1987, pp. 41-54.
[7] P. Erdös and A. Hajnal, On a problem of Jónsson, Bulletin de l'Acadeémie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques, 14 (1966), 19-23.
[8] T. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic, 5 (1973), 165-198.
[9] C. A. Johnson, Some partition relations for ideals on P_κλ, Acta Math. Hungar., 56 (1990), 269-282.
[10] S. Kamo, Remarks on P_κλ-combinatorics, Fund. Math., 145 (1994), 141-151.
[11] M. Magidor, Combinatorial characterization of supercompact cardinals, Proc. Amer. Math. Soc., 49 (1974), 279-285.
[12] T. K. Menas, On strong compactness and supercompactness, Ann. Math. Logic, 7 (1974), 327-359.
[13] T. K. Menas, A combinatorial property of P_κλ, J. Symbolic Logic, 41 (1976), 225-234.

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