Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
totally ordered subset
|
| gptkbp:contrastsWith |
antichain
|
| gptkbp:definedIn |
totally ordered subset of a partially ordered set
|
| gptkbp:example |
real numbers with usual order
natural numbers with usual order subset {1,2,3} in (N, ≤) |
| gptkbp:field |
gptkb:mathematics
gptkb:order_theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Chain (order theory)
|
| gptkbp:property |
every chain is a totally ordered subset
every totally ordered set is a chain in itself |
| gptkbp:relatedTo |
antichain
partially ordered set total order |
| gptkbp:used_in |
gptkb:Dilworth's_theorem
gptkb:Zorn's_lemma lattice theory |
| gptkbp:bfsParent |
gptkb:Lattice_(order)
|
| gptkbp:bfsLayer |
8
|