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- Comparability abstract "In mathematics, any two elements x and y of a set P that is partially ordered by a binary relation ≤ are comparable when either x ≤ y or y ≤ x. If it is not the case that x and y are comparable, then they are called incomparable.A totally ordered set is exactly a partially ordered set in which every pair of elements is comparable.It follows immediately from the definitions of comparability and incomparability that both relations are symmetric, that is x is comparable to y if and only if y is comparable to x, and likewise for incomparability.".
- Comparability wikiPageExternalLink PartialOrder.html.
- Comparability wikiPageID "3834818".
- Comparability wikiPageLength "2579".
- Comparability wikiPageOutDegree "13".
- Comparability wikiPageRevisionID "660335216".
- Comparability wikiPageWikiLink Category:Mathematical_relations.
- Comparability wikiPageWikiLink Category:Order_theory.
- Comparability wikiPageWikiLink Class_(set_theory).
- Comparability wikiPageWikiLink Comparability_graph.
- Comparability wikiPageWikiLink Hausdorff_space.
- Comparability wikiPageWikiLink Mathematics.
- Comparability wikiPageWikiLink Partial_order.
- Comparability wikiPageWikiLink Partially_ordered_set.
- Comparability wikiPageWikiLink Sober_space.
- Comparability wikiPageWikiLink Strict_weak_ordering.
- Comparability wikiPageWikiLink Symmetric_relation.
- Comparability wikiPageWikiLink T1_space.
- Comparability wikiPageWikiLink Topological_space.
- Comparability wikiPageWikiLink Total_order.
- Comparability wikiPageWikiLink Weak_ordering.
- Comparability wikiPageWikiLinkText "Comparability".
- Comparability wikiPageWikiLinkText "comparability".
- Comparability wikiPageWikiLinkText "comparable".
- Comparability wikiPageWikiLinkText "incomparability".
- Comparability wikiPageWikiLinkText "incomparable".
- Comparability hasPhotoCollection Comparability.
- Comparability wikiPageUsesTemplate Template:Cite_web.
- Comparability wikiPageUsesTemplate Template:Reflist.
- Comparability wikiPageUsesTemplate Template:See_also.
- Comparability wikiPageUsesTemplate Template:Wiktionary.
- Comparability subject Category:Mathematical_relations.
- Comparability subject Category:Order_theory.
- Comparability type Concept.
- Comparability type Field.
- Comparability type Relation.
- Comparability type Thing.
- Comparability comment "In mathematics, any two elements x and y of a set P that is partially ordered by a binary relation ≤ are comparable when either x ≤ y or y ≤ x.".
- Comparability label "Comparability".
- Comparability seeAlso Inequality_(mathematics).
- Comparability sameAs m.0b2g1h.
- Comparability sameAs Q5155608.
- Comparability sameAs Q5155608.
- Comparability wasDerivedFrom Comparability?oldid=660335216.
- Comparability isPrimaryTopicOf Comparability.