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

Andrew D Brooke-Taylor, Vera Fischer, Sy-David Friedman, Diana Montoya

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)
230 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)37–49
Number of pages13
JournalAnnals of Pure and Applied Logic
Issue number1
Early online date24 Aug 2016
Publication statusPublished - Jan 2017


  • Generalized cardinal characteristics
  • Forcing
  • Supercompact cardinals

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