Realizer
A set R of linear extensions of a partially ordered set P=(X,<=) is a realizer of P (and is said to realize P) provided that for all x,y in X, x<=y iff x is below y in every member of R.
See also
Dominance, Linear Extension, Partially Ordered Set, Poset DimensionExplore with Wolfram|Alpha
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Cite this as:
Weisstein, Eric W. "Realizer." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Realizer.html