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Polarized partition relations

  • James E. Baumgartner (a1) and Andras Hajnal (a2)

It is shown that for any cardinal κ, , and if κ is weakly compact then .

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[3] J. Baumgartner and S. Shelah , Remarks on superatomic Boolean algebras, Annals of Pure and Applied Logic, vol. 33 (1987), pp. 109129.

[6] P. Erdős , A. Hajnal , and R. Rado , Partition relations for cardinal numbers, Acta Mathematika Hungarica, vol. 16 (1965), pp. 93196.

[7] P. Erdős and R. Rado , A partition calculus in set theory, Bulletin of the American Mathematical Society, vol. 62 (1956), pp. 427489.

[10] K. Prikry , On a problem of Erdős, Hajnal, and Rado, Discrete Mathematics, vol. 2 (1972), pp. 5159.

[12] K. Wolfsdorf , Der Beweis eines Satzes von G. Choodnovsky, Archive for Mathematical Logic, vol. 20 (1980), pp. 161171.

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The Journal of Symbolic Logic
  • ISSN: 0022-4812
  • EISSN: 1943-5886
  • URL: /core/journals/journal-of-symbolic-logic
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