English

Triangulated categories with a single compact generator and two Brown representability theorems

Category Theory 2025-05-15 v5

Abstract

We develop the general formalism of approximable triangulated categories, and prove two representability theorems.

Keywords

Cite

@article{arxiv.1804.02240,
  title  = {Triangulated categories with a single compact generator and two Brown representability theorems},
  author = {Amnon Neeman},
  journal= {arXiv preprint arXiv:1804.02240},
  year   = {2025}
}

Comments

Two old manuscripts, arXiv:1804.02240 and arXiv:1806.05777, were merged into one. Also: the new paper contains substantial improvements suggested by an anonymous referee, and updates on work done since the original manuscripts were posted

R2 v1 2026-06-23T01:16:00.315Z