equivalence relation

equivalence relation

English

Noun

equivalence relation (plural equivalence relations)

1. (set theory) A binary relation that is reflexive, symmetric and transitive.

Hyponyms

• bijection
• congruence
• congruence relation
• equality
• homeomorphism
• homotopy
• isometry
• isomorphism
• similarity

Related terms

• equivalence class
• setoid
• ≡
• ~

Translations

binary relation

Czech: relace ekvivalence f Finnish: ekvivalenssirelaatio French: relation d'équivalence (fr) f German: Äquivalenzrelation (de) f Hungarian: ekvivalenciareláció Icelandic: jafngildisvensl n pl Italian: relazione di equivalenza f Japanese: 同値関係 (dōchi-kankei)

Polish: relacja równoważności f Portuguese: relação de equivalência f Romanian: relație de echivalență f Russian: отноше́ние эквивале́нтности n (otnošénije ekvivaléntnosti) Serbo-Croatian: relacija ekvivalencije f Spanish: relación de equivalencia f Swedish: ekvivalensrelation (sv) c