English

Notes on Triangulated Categories

K-Theory and Homology 2014-07-17 v2

Abstract

We give an elementary introduction to the theory of triangulated categories covering their axioms, homological algebra in triangulated categories, triangulated subcategories, and Verdier localization. We try to use a minimal set of axioms for triangulated categories and derive all other statements from these, including the existence of biproducts. We conclude with a list of examples.

Keywords

Cite

@article{arxiv.1407.3765,
  title  = {Notes on Triangulated Categories},
  author = {Tobias Fritz},
  journal= {arXiv preprint arXiv:1407.3765},
  year   = {2014}
}

Comments

47 pages, most likely no original results. May be of use to someone

R2 v1 2026-06-22T05:03:49.704Z