The Structure of the Distributive Lattice of Games Born by Day n
William Fraser, Susan Hirshberg, Wolfe, David · Zenodo (CERN European Organization for Nuclear Research) · 2005
We prove structural theorems about the distributive lattice of games born by day n. For instance, the number of join-irreducible elements is exactly twice the number of elements born by day n − 1. As an immediate corollary, all maximal chains on day n are of length exactly one plus double the number of born by day n − 1.