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A strongly non-Ramsey order type

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Abstract

It is consistent that there is an order type θ for which\(\psi \not \to [\theta ]_{\aleph _1 }^2\) holds for every type ψ.

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References

  1. P. Erdős, A. Hajnal, A. Máté, R. Rado:Combinatorial Set Theory: Partition Relation for Cardinals, Studies in Logic,106, North-Holland, 1984.

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  3. S. Shelah: Consistency of positive partition theorems for graphs and models,Set theory and applications, (J. Steprāns, S. Watson, eds), Springer Lect. Notes1401, 167–193.

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Authors and Affiliations

  1. Department of Mathematics, Rutgers University, 08855-1179, Piscataway, NJ, USA

    A. Hajnal

  2. Department of Computer Science, Eötvös University, Múzeum krt. 6-8, H-1088, Budapest, Hungary

    P. Komjáth

Authors
  1. A. Hajnal
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  2. P. Komjáth
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Additional information

Research partially supported by Hungarian National Science Grant OTKA 016391.

Partially supported by the European Communities (Cooperation in Science and Technology with Central and Eastern European Countries) contract number ERBCIPACT930113.

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Hajnal, A., Komjáth, P. A strongly non-Ramsey order type. Combinatorica 17, 363–367 (1997). https://doi.org/10.1007/BF01215918

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  • DOI: https://doi.org/10.1007/BF01215918

Mathematics Subject Classification (1991)