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A lattice in which every non-empty bounded subset has a least upper bound and a greatest lower bound. As an example of a conditionally-complete lattice one may take the set of all real numbers with the usual order.

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How to Cite This Entry:
Conditionally-complete lattice. T.S. Fofanova (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Conditionally-complete_lattice&oldid=11945

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098

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