In this post, we give a proof that 
does not interpret (without parameters) in the homogeneous poset 
nor in the random graph 
. The idea is to first show that every continuous action of 
or 
on a set is faithful or trivial. We show this by using the fact that and have least supports. Since and have an automorphism of order two and 
does not, this proves that there is no nontrivial continuous action of nor on 
.