English Explanatory Dictionary

morphism

English dictionary entry

Meanings

noun
  1. (formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises.
  2. Being or having distinct variants of a plant or animal species in the same locale; polymorphism.

Pronunciation

/ˈmɔːfɪzəm/ /ˈmɔɹfɪzəm/ LL-Q1860 (eng)-Flame, not lame-morphism.wav

Word forms

morphism morphisms

Etymology

Generalised from isomorphism, etc.

Synonyms

arrow map

Related words

-morphism bijection function functor isometry measurable function

Derived words

allelomorphism anamorphism antimorphism apomorphism automorphism bimorphism catamorphism classifying morphism coconstant morphism comorphism constant morphism contactomorphism diagonal morphism diffeomorphism epimorphism homeomorphism homomorphism hylomorphism identity morphism isomorphism monomorphism morphism set multimorphism orthomorphism transmorphism twist morphism universal morphism zero morphism
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