## complete lattice

A lattice is a partial ordering of a set under a relation where all finite subsets have a least upper bound and a greatest lower bound. A complete lattice also has these for infinite subsets. Every finite lattice is complete. Some authors drop the requirement for greatest lower bounds.

Last updated: 1994-12-02

### Nearby terms:

complete inference system ♦ **complete lattice** ♦ complete metric space

Try this search on Wikipedia, OneLook, Google

Loading