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<p>A club consisting of former regulars is added to an inaccessible cardinal, without changing cofinalities outside it. The initial assumption is optimal. A variation of the Radin forcing without a top measurable cardinal is introduced for this.</p>

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Another method to add a closed unbounded set of former regulars

  • 期刊论文

  • 发表日期：

    2026年3月19日

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  • Moti Gitik,
  • Sittinon Jirattikansakul

摘要

A club consisting of former regulars is added to an inaccessible cardinal, without changing cofinalities outside it. The initial assumption is optimal. A variation of the Radin forcing without a top measurable cardinal is introduced for this.