Choice sets from above and below – mathoverflow.net

Choice sets from above and below – mathoverflow.net

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Let $X\neq \emptyset$ be a set and let ${\cal S} \subseteq {\cal P}(X)\setminus\{\emptyset\}$ be a collection of non-empty subsets of $X$. We say $C\subseteq X$ is a choice set for ${\cal S}$ if ...

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