A set of linear extensions of a partially ordered set is a realizer of (and is said to realize ) provided that for all , iff is below in every member of .

# Realizer

## See also

Dominance, Linear Extension, Partially Ordered Set, Poset Dimension## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Realizer." From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Realizer.html