Statements (21)
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 |
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 |
https://www.w3.org/2000/01/rdf-schema#label |
Dedekind cuts
|
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
|
gptkbp:bfsLayer |
5
|