## Partially Ordered Set

A partially ordered set (or Poset) is a Set taken together with a Partial Order on it. Formally, a partially ordered set is defined as an ordered pair , where is called the Ground Set of and is the Partial Order of .

See also Circle Order, Cover Relation, Dominance, Ground Set, Hasse Diagram, Interval Order, Isomorphic Posets, Partial Order, Poset Dimension, Realizer, Relation

References

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

Fishburn, P. C. Interval Orders and Interval Sets: A Study of Partially Ordered Sets. New York: Wiley, 1985.

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