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Note on Canonical Partitions

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Mathematics of Ramsey Theory

Part of the book series: Algorithms and Combinatorics ((AC,volume 5))

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Abstract

1. For every set X and every cardinal number r we put

$${\left[ X \right]^r} = \left\{ {P \subseteq X:|P| = r} \right\}.$$

Originally printed in: Bull. London Math. Soc 18 (1986), 123–126. Reprinted by courtesy of the author and of the London Math. Society. Without a contribution by R. Rado this volume would be incomplete. During the final stage of preparation of this book we learned that R. Rado died. Without him the whole Ramsey theory seems to be incomplete.

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References

  • Baumgartner, J.E. (1975): Canonical partition relations. J. Symb. Logic 40, 541–554

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  • Ramsey, F.P. (1930): On a problem of formal logic. Proc. Lond. Math. Soc., II. Ser. 30, 264–286

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  • Shelah, S. (1981): Canonization theorems and applications. J. Symb. Logic 46, 345–353

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To B. L. van der Waerden on his 80. birthday

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© 1990 Springer-Verlag Berlin Heidelberg

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Rado, R. (1990). Note on Canonical Partitions. In: Nešetřil, J., Rödl, V. (eds) Mathematics of Ramsey Theory. Algorithms and Combinatorics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72905-8_3

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  • DOI: https://doi.org/10.1007/978-3-642-72905-8_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-72907-2

  • Online ISBN: 978-3-642-72905-8

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