Word.ws English Dictionary

Dedekind cuts

Dedekind cuts is the plural of Dedekind cut.

Meaning of Dedekind cut

Noun

Dedekind cut (plural Dedekind cuts)

  1. Any partition of the set of rational numbers into non-empty sets A and B such that all elements of A are less than all elements of B and A contains no greatest element; intended as a construction of a real number.
    • More than one formal solution was offered; the one which is easiest to work with (all of the solutions are provably equivalent) is the method of Dedekind cuts.1990, Judith Roitman, Introduction to Modern Set Theory, Wiley, page 70

Questions about Dedekind cuts

What is Dedekind cuts the plural of?
Dedekind cuts is the plural of Dedekind cut.

Words near Dedekind cuts in the dictionary

  1. Dededo
  2. Dedeian
  3. Dedeians
  4. Dedekind
  5. Dedekind cut
  6. Dedekind cuts
  7. Dedekind domain
  8. Dedekind domains
  9. Dedekind ellipsoid
  10. Dedekind ellipsoids
  11. Dedekind ring

Source and license

Adapted from Wiktionary: Dedekind cuts (page history and authors); Dedekind cut (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Dedekind cuts.” Word.ws, https://word.ws/dedekind_cuts. Based on Wiktionary, CC BY-SA 4.0.