It was a light hearted affair, but in retrospect it got the audience to thinking about whether they agreed or disagreed with my choices, and it certainly caused me to think more deeply about the most significant threads for research on partially ordered sets. So in this talk, I propose to revisit this theme, expanding from five to ten to give me a little more room.
Some choices are obvious.
You have to include Dilworth's chain partitioning theorem and Sperner's lemma giving the width of the subset lattice.