English

Discrete triangulated categories

Representation Theory 2018-02-14 v3 Category Theory K-Theory and Homology

Abstract

We introduce and study several homological notions which generalise the discrete derived categories of D. Vossieck. As an application, we show that Vossieck discrete algebras have this property with respect to all bounded t-structures. We give many examples of triangulated categories regarding these notions.

Keywords

Cite

@article{arxiv.1512.01482,
  title  = {Discrete triangulated categories},
  author = {Nathan Broomhead and David Pauksztello and David Ploog},
  journal= {arXiv preprint arXiv:1512.01482},
  year   = {2018}
}

Comments

14 pages, 1 table, v2 minor fixes and changes, v3 final version after referee report

R2 v1 2026-06-22T12:01:45.661Z