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Specialising Aronszajn trees by countable approximations

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Abstract.

We show that there are proper forcings based upon countable trees of creatures that specialise a given Aronszajn tree.

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References

  1. Baumgartner, J.: Iterated forcing. In Adrian Mathias, editor, Surveys in Set Theory, volume~8 of London Math. Soc. Lecture Notes Ser., pages 1–59. Cambridge University Press, 1983.

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Authors and Affiliations

  1. Institut für formale Logik, Universität Wien, Währinger Str. 25, A-1090, Wien, Austria

    Heike Mildenberger

  2. Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904, Jerusalem, Israel

    Saharon Shelah

Authors
  1. Heike Mildenberger
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  2. Saharon Shelah
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Corresponding author

Correspondence to Saharon Shelah.

Additional information

The first author was partially supported by a Minerva fellowship. The second author's research was partially supported by the ``Israel Science Foundation'', founded by the Israel Academy of Science and Humanities. This is the second author's work number 778.

Mathematics Subject Classification (2000): 03E15, 03E17, 03E35, 03D65

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Mildenberger, H., Shelah, S. Specialising Aronszajn trees by countable approximations. Arch. Math. Logic 42, 627–647 (2003). https://doi.org/10.1007/s00153-002-0168-5

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  • DOI: https://doi.org/10.1007/s00153-002-0168-5

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