Cutsets in $\mathcal{P}(X)$

John Ginsburg, Bill Sands

For any set $X$, $\mathcal{P}(X)$ denotes the collection of all subsets of $X$, ordered by inclusion. A {\it cutset} in $\mathcal{P}(X)$ is a subset of $\mathcal{P}(X)$ which me…