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Transactions of the American Mathematical Society

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Ramsey games

Authors: A. Hajnal and Zs. Nagy
Journal: Trans. Amer. Math. Soc. 284 (1984), 815-827
MSC: Primary 04A20; Secondary 03E05, 03E55
MathSciNet review: 743746
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Abstract: The paper deals with game-theoretic versions of the partition relations $ \alpha \to (\beta )_2^{ < \tau }$ and $ \alpha \to (\beta )_2^\tau $ introduced in [2]. The main results are summarized in the Introduction.

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  • [1] J. E. Baumgartner, Results and independence proofs in combinatorial set theory, Doctoral Dissertation, University of California, Berkeley, California, 1970.
  • [2] J. E. Baumgartner, F. Galvin, R. McKenzie and R. Laver, Game theoretic versions of partition relations, Infinite and Finite Sets, Colloquia Math. Soc. János Bolyai, Vol. 10, Keszthely, Hungary, 1973.
  • [3] Keith J. Devlin, Some weak versions of large cardinal axioms, Ann. Math. Logic 5 (1972–1973), 291–325. MR 0363906
  • [4] K. J. Devlin and J. B. Paris, More on the free subset problem, Ann. Math. Logic 5 (1972–1973), 327–336. MR 0329896
  • [5] P. Erdös and R. Rado, Combinatorial theorems on classifications of subsets of a given set, Proc. London Math. Soc. (3) 2 (1952), 417–439. MR 0065615
  • [6] A. Hajnal, Proof of a conjecture of S. Ruziewicz, Fund. Math. 50 (1961/1962), 123–128. MR 0131986
  • [7] P. Komjath, Preprint.

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Article copyright: © Copyright 1984 American Mathematical Society