# bounded

Also found in: Dictionary, Thesaurus, Medical, Legal, Financial, Idioms.

## 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).

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

Want to thank TFD for its existence? Tell a friend about us, add a link to this page, or visit the webmaster's page for free fun content.

Link to this page: