Adjoint functors and projectivization in representation theory of partially ordered sets are used to generalize the algorithms of differentiation by a maximal and by a minimal point. Conceptual explanations are given for the combinatorial construction of the derived set and for the differentiation functor.
Kleiner, Mark and Reitenbach, Markus, "Adjoint Functors, Projectivization, and Differentiation Algorithms for Representations of Partially Ordered Sets" (2011). Mathematics Faculty Scholarship. Paper 79.
Harvested from arXiv.org