Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Dedekind_cut
|
| gptkbp:category |
gptkb:logic
gptkb:Number_theory gptkb:Set_theory |
| gptkbp:describes |
Partition of rational numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cut (mathematics)
|
| gptkbp:introducedIn |
19th century
|
| gptkbp:namedAfter |
gptkb:Richard_Dedekind
|
| gptkbp:partitionType |
Two non-empty subsets
|
| gptkbp:property |
First set has no greatest element
All elements of first set are less than all elements of second set |
| gptkbp:relatedTo |
gptkb:Order_theory
gptkb:Field_theory Real numbers Rational numbers Completeness of real numbers |
| gptkbp:usedFor |
Construction of real numbers
|
| gptkbp:usedIn |
Real analysis
|
| gptkbp:bfsParent |
gptkb:CUT
|
| gptkbp:bfsLayer |
5
|