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Successor of singulars: Combinatorics and not collapsing cardinals ≤gk in (<gk)-support iterations

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Abstract

On the one hand, we deal with (<gk)-supported iterated forcing notions which are\((\hat \varepsilon _0 ,\hat \varepsilon _1 ) - complete\), bearing in mind problems on Whitehead groups, uniformizations and the general problem. We deal mainly with the case of a successor of the singular cardinal. This continues [Sh 587]. On the other hand, we deal with complimentary ZFC combinatorial results.

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References

  1. L. Fuchs,Infinite Abelian Groups, I, II, Academic Press, New York, 1970, 1973.

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Authors and Affiliations

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

    Saharon Shelah

  2. Department of Mathematics, Rutgers University, 08854, New Brunswick, NJ, USA

    Saharon Shelah

  3. Mathematics Department, University of Wisconsin — Madison, 53706, Madison, WI, USA

    Saharon Shelah

Authors
  1. Saharon Shelah
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Correspondence to Saharon Shelah.

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I would like to thank Alice Leonhardt for the beautiful typing.

This research was supported by The Israel Science Foundation founded by the Israel Academy of Sciences and Humanities. Publication 667.

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Shelah, S. Successor of singulars: Combinatorics and not collapsing cardinals ≤gk in (<gk)-support iterations. Isr. J. Math. 134, 127–155 (2003). https://doi.org/10.1007/BF02787405

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  • DOI: https://doi.org/10.1007/BF02787405

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