Published September 1, 2005 | Version v1
Journal article Open

The Structure of the Distributive Lattice of Games Born by Day n

  • 1. Department of Mathematics, University of California, Berkeley, CA, 94720
  • 2. St. Peter, MN 56082
  • 3. Department of Mathematics and Computer Science, Gustavus Adolphus College, St. Peter, MN 56082

Description

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.

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