The Dimension of a Poset is the size of the smallest Realizer of . Equivalently, it is the smallest Integer such that is Isomorphic to a Dominance order in .

**References**

Dushnik, B. and Miller, E. W. ``Partially Ordered Sets.'' *Amer. J. Math.* **63**, 600-610, 1941.

Trotter, W. T. *Combinatorics and Partially Ordered Sets: Dimension Theory.*
Baltimore, MD: Johns Hopkins University Press, 1992.

© 1996-9

1999-05-26