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<p>We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositions. As an application we obtain new results about the uniqueness of enhancements in chromatic homotopy theory.</p>

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Tensor-triangular rigidity in chromatic homotopy theory

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月30日

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  • Scott Balchin,
  • Constanze Roitzheim,
  • Jordan Williamson

摘要

We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositions. As an application we obtain new results about the uniqueness of enhancements in chromatic homotopy theory.