## bounded

<*theory*>

In domain theory, a subset S of a cpo X is bounded if there exists x in X such that for all s in S, s <= x. In other words, there is some element above all of S. If every bounded subset of X has a least upper bound then X is boundedly complete.

("<=" is written in LaTeX as \subseteq).

Last updated: 1995-02-03

### Nearby terms:

boundary value analysis ♦ **bounded** ♦ boundedly complete ♦ bound variable

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