A guide to tensor-triangular classification
Paul Balmer

TL;DR
This chapter provides a comprehensive overview of the classification of thick tensor-ideals within the context of homotopy theory, offering insights into tensor-triangular geometry.
Contribution
It systematically surveys the existing methods and results related to tensor-triangular classification in homotopy theory.
Findings
Summarizes key classification results
Highlights open problems in tensor-triangular geometry
Connects classification to homotopy-theoretic structures
Abstract
This is a chapter of the Handbook of Homotopy Theory, that surveys the classifications of thick tensor-ideals.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras
