[see also: maximum]
Suppose $A$ is maximal with respect to having connected preimage.
Take $ N$ to be a family of normal measures in $P(X)$ such that $ N$ is maximal subject to the condition that the supports of the measures in the family are pairwise disjoint.
Now suppose that $F(n)=x$ and that $n$ is maximal in this respect.
Go to the list of words starting with: a b c d e f g h i j k l m n o p q r s t u v w y z