The purpose of this paper is to study weakly continuous isotone bijections on a lattice of residuated maps (e.g. the space of probability distribution functions). We investigate the connection between weakly continuous isotone bijections and order automorphisms. Our final result gives necessary and sufficient conditions for a continuous isotone bijection to be an order automorphism.
"When are continuous isotone bijections order automorphisms?." Real Anal. Exchange 21 (1) 154 - 164, 1995/1996.