Each join-completion of a partially ordered set in the solution of a universal problem
Jürgen Schmidt · Journal of the Australian Mathematical Society · 1974
The main result of this paper is the theorem in the title. Only special cases of it seem to be known so far. As an application, we obtain a result on the unique extension of Galois connexions. As a matter of fact, it is only by the use of Galois connexions that we obtain the main result, in its present generality.