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1. Dedekind Cuts.
   dedekind cuts. If we choose a rational number q, we can use this to split the rationals in two sets, one larger than  
   http://hemsidor.torget.se/users/m/mauritz/math/num/real.htm

2. 2.15.1 Dedekind Cuts
   2.15.1 dedekind cuts. A real number is represented by a cut ,    
   http://www.dgp.toronto.edu/people/mooncake/thesis/node61.html

3. Dedekind Cuts Of Partial Orderings
   dedekind cuts of partial orderings dedekind cuts are a clever trick for defining the reals given the rationals.  
   http://www.cap-lore.com/MathPhys/Cuts.html

4. Dedekind Cuts
   dedekind cuts. The first construction of the Real numbers from the Rationalsis due to the German mathematician Richard Dedekind (1831 1916).  
   http://www.gap-system.org/~john/analysis/Lectures/A3.html

5. Some Early History Of Set Theory
   MT2002 Analysis Previous page (Some definitions of the concept of continuity),Contents, Next page (dedekind cuts). Some Early History of Set Theory.  
   http://www.gap-system.org/~john/analysis/Lectures/A2.html

6. PlanetMath: Dedekind Cuts
   The purpose of dedekind cuts is to provide a sound logical foundation for the real number system.  
   http://www.planetmath.org/encyclopedia/DedekindCuts.html

7. Theorem: R Via Dedekind Cuts
   Theorem R via dedekind cuts. The proof is not done, sorry. Context Context.Interactive Real Analysis, ver. 1.9.3 (c) 19942000, Bert G. Wachsmuth.  
   http://www.shu.edu/projects/reals/infinity/proofs/r_dedek.html

8. Dedekind CutsThe First Construction Of The Real Numbers From The Rationals Is Du
   Biography of Richard Dedekind (18311916) was his redefinition of irrational numbers in terms of dedekind cuts which, as we mentioned above, first came to him as  
   http://www-history.mcs.st-and.ac.uk/~john/analysis/Lectures/A3.html

9. D
   D. De Morgan's laws; De Morgan, Augustus (18061871); decreasing function;dedekind cuts; Dedekind's Theorem; density principle; derivative  
   http://www.shu.edu/projects/reals/gloss/index_d.html

10. Dedekind Cuts By Todd Trimble
    Subject dedekind cuts Author todd trimble trimble@math.luc.edu Date 3 Oct 98 185819 0400 (EDT) The idea is that  
    http://forum.swarthmore.edu/epigone/alt.math.undergrad/dunyobe/x6e65pivbnzw@foru

11. 2.15 Real Representations
    next up previous notation contents Next 2.15.1 dedekind cuts Up2 Numbers Previous 2.14 Variants 2.15 Real Representations. To  
    http://www.dgp.toronto.edu/people/mooncake/thesis/node60.html

12. Dedekind Cut - Wikipedia
    The Dedekind cut is named after Richard Dedekind, who invented this constructionin order to represent the real numbers as dedekind cuts of the rational numbers  
    http://www.wikipedia.org/wiki/Dedekind_cut

13. Real Number - Wikipedia
    This sense of completeness is most closely related to the construction of the realsfrom dedekind cuts, since that construction starts from an ordered field  
    http://www.wikipedia.org/wiki/Real_number

14. Dedekind's Cuts
    3 Oct 1998 dedekind cuts, by todd trimble  
    http://mathforum.com/epigone/alt.math.undergrad/dunyobe

15. Math And Physics
    Transformations on vector spaces Implicit Methods Code for Fields in a computerHomotopy and Homotopy groups dedekind cuts of partial orderings Stowaways See  
    http://www.cap-lore.com/MathPhys/

16. PlanetMath: Dedekind Cuts
    dedekind cuts, (Definition). The purpose of dedekind cuts is to providea sound logical foundation for the real number system. Dedekind's  
    http://planetmath.org/encyclopedia/DedekindCuts.html

17. PlanetMath:
    decomposition (complementary subspace) owned by rmilson. decomposition group ownedby djao. dedekind cuts owned by rmilson. Dedekind domain owned by saforres.  
    http://planetmath.org/encyclopedia/D/

18. The Reals.
    As you may recall, one way of defining the reals was by using Dedekind'scuts. We do now define the the real numbers to be a dedekind cuts.  
    http://hemsidor.torget.se/users/m/mauritz/math/num/setreal.htm

19. Reals Via Dedekind Cuts
    Theorem Real Numbers as dedekind cuts. The proof isnot done, sorry. To Theory Glossary Map (bgw).  
    http://pirate.shu.edu/projects/reals/infinity/proofs/r_dedek.html

20. Interactive Real Analysis Glossary
    D. De Morgan, Augustus (18061871); De Morgan's laws; decreasing function;dedekind cuts; Dedekind's Theorem; density principle; derivative  
    http://pirate.shu.edu/projects/reals/gloss/index_d.html

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