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Partitioning pairs of uncountable sets

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Published online by Cambridge University Press:  27 June 2017

René Cori
Affiliation:
Université de Paris VII (Denis Diderot)
Alexander Razborov
Affiliation:
Institute for Advanced Study, Princeton, New Jersey
Stevo Todorčević
Affiliation:
Université de Paris VII (Denis Diderot)
Carol Wood
Affiliation:
Wesleyan University, Connecticut
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Logic Colloquium 2000 , pp. 350 - 364
Publisher: Cambridge University Press
Print publication year: 2005

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References

[1] Matthew, Foreman and Menachem, Magidor, Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on pκ (λ),Acta Mathematica, vol. 186 (2001), pp. 271–300.Google Scholar
[2] András, Hajnal and Peter, Hamburger, Set theory, London Mathematical Society Student Texts, vol. 48, Cambridge University Press, Cambridge, 1999.
[3] Akihiro, Kanamori, The higher infinite, Perspectives in Mathematical Logic, Springer, 1994.
[4] Saharon, Shelah, Was Sierpinski right? I, Israel Journal of Mathematics, vol. 62 (1988), pp. 355–380.Google Scholar
[5] Saharon, Shelah, Advances in cardinal arithmetic, Finite and infinite combinatorics in sets and logic (N., Sauer etal, editor),NATO Adv. Sci. Inst. Ser.CMath. Phys. Sci., no. 411, Kluwer, Dordrecht, 1993, pp. 355–383.
[6] Saharon, Shelah, Nω+1 has a jonsson algebra, Cardinal arithmetic, Oxford University Press, New York, 1994, pp. 34–116.
[7] Saharon, Shelah, There are jonsson algebras in many inaccessible cardinals, Cardinal arithmetic, Oxford University Press, New York, 1994, pp. 117–184.
[8] Masahiro, Shioya, Splitting Pκ into maximally many stationary sets, Israel Journal of Mathematics, vol. 114 (1999), pp. 347–357.Google Scholar
[9] Stevo, Todorčević, Partitioning pairs of countable ordinals, Acta Mathematica, vol. 159 (1987), pp. 261–294.Google Scholar
[10] Stevo, Todorčević, Partitioning pairs of countable sets, Proceedings of the AmerericanMathematical Society, vol. 111 (1991), pp. 841–844.Google Scholar
[11] Daniel, Velleman, Partitioning pairs of countable sets of ordinals, The Journal of Symbolic Logic, vol. 55 (1990), pp. 1019–1021.Google Scholar

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