Tensor-triangular rigidity in chromatic homotopy theory

Scott Balchin; Constanze Roitzheim; Jordan Williamson

doi:10.1007/s11856-025-2799-x

Tensor-triangular rigidity in chromatic homotopy theory

Scott Balchin
, Constanze Roitzheim
, Jordan Williamson

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Number of pages	30
Journal	Israel Journal of Mathematics
Early online date	30 Jul 2025
DOIs	https://doi.org/10.1007/s11856-025-2799-x
Publication status	Early online date - 30 Jul 2025

Keywords

math.AT
55P42
55P60,
18G80

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10.1007/s11856-025-2799-xLicence: CC BY

Tensor-triangular rigidity in chromatic homotopy theory
© 2025 The Authors. This is an open access article published under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
Final published version, 318 KBLicence: CC BY

Cite this

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Tensor-triangular rigidity in chromatic homotopy theory

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