Homological Algebra
Triangulated categories are a type of category equipped with a distinguished class of morphisms called 'triangles,' which generalize the notion of exact sequences in homological algebra. They provide a framework for studying various cohomological theories, allowing for the development of tools like the derived category and providing insight into the relationships between objects through their morphisms and the behavior of these triangles.
congrats on reading the definition of triangulated categories. now let's actually learn it.