Tensor-triangular rigidity in chromatic homotopy theory

Fuente: arXiv
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Hauptverfasser: Balchin, Scott, Roitzheim, Constanze, Williamson, Jordan
Format: Preprint
Veröffentlicht: 2023
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author Balchin, Scott
Roitzheim, Constanze
Williamson, Jordan
author_facet Balchin, Scott
Roitzheim, Constanze
Williamson, Jordan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2302_12134
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Tensor-triangular rigidity in chromatic homotopy theory
Balchin, Scott
Roitzheim, Constanze
Williamson, Jordan
Algebraic Topology
55P42, 55P60, 18G80
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.
title Tensor-triangular rigidity in chromatic homotopy theory
topic Algebraic Topology
55P42, 55P60, 18G80
url https://arxiv.org/abs/2302.12134