## maximal

[*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.

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