English

Tensor-triangular rigidity in chromatic homotopy theory

Algebraic Topology 2024-08-30 v2

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.

Keywords

Cite

@article{arxiv.2302.12134,
  title  = {Tensor-triangular rigidity in chromatic homotopy theory},
  author = {Scott Balchin and Constanze Roitzheim and Jordan Williamson},
  journal= {arXiv preprint arXiv:2302.12134},
  year   = {2024}
}

Comments

v2: 16pp, to appear in Israel Journal of Mathematics

R2 v1 2026-06-28T08:48:04.915Z