Dedekind section

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Dedekind_cut
gptkbp:describes partition of rational numbers
gptkbp:dividedInto two non-empty subsets
https://www.w3.org/2000/01/rdf-schema#label Dedekind section
gptkbp:introducedIn 1872
gptkbp:namedAfter gptkb:Richard_Dedekind
gptkbp:property all elements of first subset are less than all elements of second subset
gptkbp:publishedIn Stetigkeit und irrationale Zahlen
gptkbp:relatedTo gptkb:order_theory
completeness property of real numbers
irrational numbers
gptkbp:usedFor construction of real numbers
gptkbp:usedIn gptkb:set_theory
real analysis
gptkbp:bfsParent gptkb:Dedekind_cut
gptkbp:bfsLayer 5