Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contrastsWith |
Cauchy completion
|
| gptkbp:describes |
partition of rational numbers
|
| gptkbp:field |
gptkb:mathematics
gptkb:set_theory real analysis |
| gptkbp:hasApplication |
gptkb:analysis
number theory |
| gptkbp:hasProperty |
every rational belongs to exactly one subset
lower set has no greatest element each cut is a pair of non-empty subsets of rationals |
| gptkbp:introducedIn |
1872
|
| gptkbp:namedAfter |
gptkb:Richard_Dedekind
|
| gptkbp:relatedTo |
rational numbers
real numbers Cauchy sequences |
| gptkbp:usedFor |
construction of real numbers
|
| gptkbp:usedIn |
axiomatic construction of the reals
|
| gptkbp:bfsParent |
gptkb:Surreal_Numbers
gptkb:Surreal_numbers gptkb:surreal_numbers |
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dedekind cuts
|