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Partition Properties for Reals

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Set Theory

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Abstract

We look at a partition relation viewed as a generalization of Hales-Jewett’s theorem. By making modifications to this partition relation, we describe some results and problems, and end in the full polarized partition relation of Di Prisco and Henle [2].

The author gives special thanks Carlos Di Prisco and the mathematics department of IVIC for the hospitality during his visit from February to June 1995.

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References

  1. C. Di Prisco, Partition Properties for Perfect Sets, Notas de Lógica Matemática, INMABB-CONICET, Bahia Bianca, Argentina, 38 (1993) 119–127.

    Google Scholar 

  2. C. Di Prisco and J. Henle, Partitions of Products, Journal of Symbolic Logic 58 (1993) 860–871.

    Article  MathSciNet  MATH  Google Scholar 

  3. C. Di Prisco and J. Henle, Partitions of the Reals and Choice, (preprint).

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  4. F. Galvin and K. Prikry, Borel Sets and Ramsey’s Theorem, Journal of Symbolic Logic 38 (1973) 193–148.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Henle, One the Consistency of One Fixed Omega, Journal of Symbolic Logic 60 (1995) 172–177

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Llopis and S. Todorcevic, A Polarized Partition Relation for Borel Sets (preprint).

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  7. A.R.D. Mathias, Happy Families, Annals of Mathematical Logic, 12 (1977) 59–111.

    Article  MathSciNet  MATH  Google Scholar 

  8. M. Martinez and C. Montenegro, Product Spaces, (preprint).

    Google Scholar 

  9. G. Moran and D. Strauss, Countable Partitions of Products, Mathematika 27 (1980) 213–224.

    Article  MathSciNet  MATH  Google Scholar 

  10. S. Shelah Can You Take Solovay’s Inaccessible Away? Israel Journal of Mathematics 48 (1984) 1–47.

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Universidad de Los Andes, Bogotá Matemáticas, Universidad de Los Andes, A.A. 4976, Bogotá, Colombia

    Carlos H. Montenegro

Authors
  1. Carlos H. Montenegro
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Editor information

Editors and Affiliations

  1. Instituto Venezolano de Investigaciones Cientificas, Caracas, Venezuela

    Carlos Augusto Di Prisco

  2. University of Florida, Gainesville, Florida, USA

    Jean A. Larson

  3. Universitat de Barcelona, Barcelona, Spain

    Joan Bagaria

  4. University of Wales, Aberystwyth, Wales, UK

    A. R. D. Mathias

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© 1998 Springer Science+Business Media Dordrecht

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Montenegro, C.H. (1998). Partition Properties for Reals. In: Di Prisco, C.A., Larson, J.A., Bagaria, J., Mathias, A.R.D. (eds) Set Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8988-8_13

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  • DOI: https://doi.org/10.1007/978-94-015-8988-8_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4978-0

  • Online ISBN: 978-94-015-8988-8

  • eBook Packages: Springer Book Archive

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