Blowing up power of a singular cardinal-wider gaps

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Abstract

The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with {α < κ o(α) ≥ α+n} cofinal in κ for every n < ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2κ = κ+δ+1 for any δ < א1.

Original languageEnglish
Pages (from-to)1-38
Number of pages38
JournalAnnals of Pure and Applied Logic
Volume116
Issue number1-3
DOIs
StatePublished - 15 Aug 2002

Keywords

  • Extenders
  • Forcing
  • Singular cardinals

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