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<p>We use indecomposable ultrafilters to answer some questions from Hayut and Karagila (in Comments Math Univ Carolin 60(2):285–298, 2019). It is shown that the bound on the strength of Usuba (in A note on uniform ultrafilters in choiceless context, <a href="http://arxiv.org/abs/2401.04871">arXiv:2401.04871v1</a>) is optimal.</p>

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On ultrafilters in ZF models and indecomposable ultrafilters

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月4日

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  • Eilon Bilinsky,
  • Moti Gitik

摘要

We use indecomposable ultrafilters to answer some questions from Hayut and Karagila (in Comments Math Univ Carolin 60(2):285–298, 2019). It is shown that the bound on the strength of Usuba (in A note on uniform ultrafilters in choiceless context, arXiv:2401.04871v1) is optimal.