The category Ste have applications in duality theory for non-commutative groups.
Pontryagin worked on duality theory for homology while still a student.
As a framework for his coherent duality theory he also introduced derived category, which were further developed by Verdier.
They play an important role in the duality theories of these groups.
It is used in duality theory to prove strong duality (via the perturbation function).
In the form of functions with support that is bounded, it also plays a major part in various types of mathematical duality theories.
One meaning of the Cohen-Macaulay condition is seen in coherent duality theory.
Olive made fundamental contributions to the string theory and duality theory.
It can be called a principled theory, based on duality theory for topological vector spaces.
Descriptive frames are the most important class of frames because of the duality theory (see below).