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Cardinal characteristics at κ in a small u(κ) model

Research output: Contribution to journalArticle

  • Andrew D Brooke-Taylor
  • Vera Fischer
  • Sy-David Friedman
  • Diana Montoya
Original languageEnglish
Pages (from-to)37–49
Number of pages13
JournalAnnals of Pure and Applied Logic
Volume168
Issue number1
Early online date24 Aug 2016
DOIs
DateAccepted/In press - 31 Mar 2016
DateE-pub ahead of print - 24 Aug 2016
DatePublished (current) - Jan 2017

Abstract

We provide a model where u(κ) < 2^κ for a supercompact cardinal κ. [10] provides a sketch of how to obtain such a model by modifying the construction in [6]. We provide here a complete proof using a different modification of [6] and further study the values of other natural generalizations of classical cardinal characteristics in our model. For this purpose we generalize some standard facts that hold in the countable case as well as some classical forcing notions and their properties.

    Research areas

  • Generalized cardinal characteristics, Forcing, Supercompact cardinals

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Elsevier at http://www.sciencedirect.com/science/article/pii/S0168007216301002. Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 366 KB, PDF document

    Licence: CC BY-NC-ND

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