English

Goodness in $n$-angulated categories

Category Theory 2023-08-14 v5

Abstract

We generalise the notions of good, middling good, and Verdier good morphisms of distinguished triangles in triangulated categories, first introduced by Neeman, to the setting of nn-angulated categories, introduced in Geiss, Keller, and Oppermann. We then prove that all morphisms of nn-angles in an (n2)(n-2)-cluster tilting nn-angulated category are middling good for n>3n>3.

Keywords

Cite

@article{arxiv.2206.14629,
  title  = {Goodness in $n$-angulated categories},
  author = {Sebastian H. Martensen},
  journal= {arXiv preprint arXiv:2206.14629},
  year   = {2023}
}

Comments

21 pages

R2 v1 2026-06-24T12:08:19.184Z