Dedekind cut: Meaning and Definition of

De'dekind cut"

Pronunciation: [key]
— Math. Math.
  1. two nonempty subsets of an ordered field, as the rational numbers, such that one subset is the collection of upper bounds of the second and the second is the collection of lower bounds of the first: can be used to define the real numbers in terms of the rational numbers.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.