The notion of a "distributor between posets" is used as a motivating example in the document Distributors at Work (www.mathematik.tu-darmstadt.de/~streicher/). This gives one way to see what a relation between posets should be. For posets A and B, what is considered are (ordinary) relations R \subseteq B \times A such that b2 \leq b1 and a1 \leq a2 and b1 R a1 implies b2 R a2. What I'm interested in is the converse of such a relation between posets. Clearly we cannot simply take the usual converse of R. I can see what to do for the context in which I need this, but I'd be interested to know if this issue appears in the literature. Is there some well-known construction on distributors that tells us what the converse 'should' be? [For admin and other information see: http://www.mta.ca/~cat-dist/ ]