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math.CT2023★ 1 cited
The homological spectrum via definable subcategories
Isaac Bird, Jordan Williamson
We develop an alternative approach to the homological spectrum of a tensor-triangulated category through the lens of definable subcategories. This culminates in a proof that the ho…
math.AT2023
Tensor-triangular rigidity in chromatic homotopy theory
Scott Balchin, Constanze Roitzheim, Jordan Williamson
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositi…