Cover Relation

The transitive reflexive reduction of a partial order. An element z of a partially ordered set (X,<=) covers another element x provided that there exists no third element y in the poset for which x<=y<=z. In this case, z is called an "upper cover" of x and x a "lower cover" of z.

See also

Between, Hasse Diagram, Partial Order

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Cite this as:

Weisstein, Eric W. "Cover Relation." From MathWorld--A Wolfram Web Resource.

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