Morphisms determined by objects in triangulated categories

Details Morphisms determined by objects in triangulated categories Morphisms determined by objects in triangulated categories

2011-10-25

arxiv.org/abs/1110.5625v1

Mathematics

Category Theory

10 pages

Scientific paper

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.

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