English

Morphisms determined by objects in triangulated categories

Category Theory 2011-10-26 v1 Algebraic Topology Representation Theory

Abstract

The concept of a morphism determined by an object provides a method to construct or classify morphisms in a fixed category. We show that this works particularly well for triangulated categories having Serre duality. Another application of this concept arises from a reformulation of Freyd's generating hypothesis.

Keywords

Cite

@article{arxiv.1110.5625,
  title  = {Morphisms determined by objects in triangulated categories},
  author = {Henning Krause},
  journal= {arXiv preprint arXiv:1110.5625},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T19:25:36.786Z