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)

4 Citations (Scopus)
181 Downloads (Pure)

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.
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
Publication statusPublished - Jan 2017

Keywords

  • Generalized cardinal characteristics
  • Forcing
  • Supercompact cardinals

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  • Cite this

    Brooke-Taylor, A. D., Fischer, V., Friedman, S-D., & Montoya, D. (2017). Cardinal characteristics at κ in a small u(κ) model. Annals of Pure and Applied Logic, 168(1), 37–49. https://doi.org/10.1016/j.apal.2016.08.004