Tensor-triangular rigidity in chromatic homotopy theory

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.

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Publication Details

Journal
Israel Journal of Mathematics
Published
2025-07-30
DOI
https://doi.org/10.1007/s11856-025-2799-x
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Tensor-triangular rigidity in chromatic homotopy theory

Constanze Roitzheim, Jordan Williamson, Scott Balchin
Israel Journal of Mathematics
Algebraic structures and combinatorial models
article

Tensor-triangular rigidity in chromatic homotopy theory

Constanze Roitzheim, Jordan Williamson, Scott Balchin
article en

Abstract

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.

Israel Journal of Mathematics
Queen's University Belfast (GB), University of Kent (GB), Charles University (CZ)
Univerzita Karlova v Praze, Grantová Agentura České Republiky, HORIZON EUROPE Framework Programme
Openalex Percentile: Top 76%
Algebraic structures and combinatorial models
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