Reconstructing the topology on monoids and polymorphism clones of the   rationals
  We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids. 
Mike Behrisch and John K Truss and Edith Vargas-Garc\'ia
math.RA math.LO