vix.ing · top · new · best · stats · spec

Morphisms determined by objects in triangulated categories

2011/10/25 by Henning Krause, Krause, Henning
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.AT #math.CT #math.RT

paper · pdf · doi:10.48550/arxiv.1110.5625

10 pages

arxiv created 2011/10/25 · openalex publication_date 2011/10/25 · arxiv updated 2011/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related