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Many simple cardinal invariants

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Summary

Forg<f in ωω we definec(f,g) be the least number of uniform trees withg-splitting needed to cover a uniform tree withf-splitting. We show that we can simultaneously force ℵ1 many different values for different functions (f,g). In the language of [B1]: There may be ℵ1 many distinct uniformII 11 characteristics.

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Authors and Affiliations

  1. Department of Mathematics, Bar Ilan University, 52900, Ramat Gan, Israel

    Martin Goldstern

  2. Department of Mathematics, The Hebrew University, Jerusalem, Israel

    Saharon Shelah

Authors
  1. Martin Goldstern
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  2. Saharon Shelah
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Correspondence to Saharon Shelah.

Additional information

Supported by Israeli Academy of Sciences, Basic Research Fund

Publication 448. Supported partially by Israeli Academy of Sciences, Basic Research Fund and by the Edmund Landau Center for research in Mathematical Analysis (supported by the Minerva Foundation, Germany)

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Goldstern, M., Shelah, S. Many simple cardinal invariants. Arch Math Logic 32, 203–221 (1993). https://doi.org/10.1007/BF01375552

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  • DOI: https://doi.org/10.1007/BF01375552

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