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The Gale order on the set P = ( k [ n ] ) of k-element subsets of [n] is the partial order defined by
The Gale order on the set P =(k[n]) of k-element subsets of [n] is the partial order defined by {a1 < < ak} {b1 < < bk} if and only if ai bi for i = 1, 2, . . . , k. The Gale order is isomorphic to a familiar poset. Which one?
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