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Morphisms
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we're using category theory definitions here, but where the term is used elsewhere, i'll try to note that.
- morphism: a structure-preserving relationship
- operating on a source and target (often called domain and codomain)
- with the partial binary composition operator represented by ∘
- this operator is associative and respects identity
- a category is made up of the class of objects (often sets) and class of morphisms (often functions).
- anamorphism
- catamorphism
- diffeomorphism
- endomorphism: a morphism with identical source and target
- epimorphism
- homomorphism
- homeomorphism
- hylomorphism
- isomorphism
- paramorphism
- monomorphism: a left-cancellative morphism
- often called a "mono". monomorphic behavior is often called "monic".
- in algebra, an injective homomorphism
- bimorphism: both an epimorphism and a monomorphism
- automorphism: both an endomorphism and an isomorphism