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...add and subtract morphisms. In such a category, the [[coequalizer]] of two morphisms ''f'' and ''g'' (if it exists) is just the cokernel of their difference: ...

If the ranges of the morphisms of an inverse system of abelian groups (''A''_''i'', ''f''<sub>'' * a system in which the morphisms ''f''_''ij'' are surjective ...

...m the category of [[topology|topological spaces]] (with continuous maps as morphisms) to the category of real [[associative algebra]]s is given by assigning to ...)|group]] ''G'' can be considered as a category with a single object whose morphisms are the elements of ''G''. A functor from ''G'' to '''Set''' is then nothin ...

...athematics)|category]] of topological spaces, [[Morphism (category theory)|morphisms]] are continuous functions between topological spaces. Continuous functions ...

...s)|ring]] is considered as a category with a single object (composition of morphisms given by multiplication), then the epimorphisms are precisely the right-can ...ategory (objects are the vertices, morphisms are the paths, composition of morphisms is the concatenation of paths), then ''every'' morphism is an epimorphism.- ...

...math> is a monomorphism if, for any pair <math>g</math>, <math>h</math> of morphisms from any other object <math>C</math> to <math>A</math>, then <math>f \circ ...math> is an epimorphism if, for any pair <math>g</math>, <math>h</math> of morphisms from <math>B</math> to any other object <math>C</math>, the equality <math> ...

...morphism, assume that {{nowrap|1=''q'' ∘ ''f'' = ''q'' ∘ ''g''}} for some morphisms {{nowrap|''f'', ''g'' : ''G'' → '''Q'''}}, where ''G'' is some divisible gr ...

* Untuk setiap objek {{Math|''Y''}} dan setiap sepasang morphisms {{Math|''f''₁ : ''Y'' → ''X''₁}} {{Math|''f''<sub>2</ ...

...k, Zeev |name-list-style=amp | title= Stable mixing for cat maps and quasi-morphisms of the modular group| year=2004| journal = Erg. Th. & Dynam. Syst.| volume= ...

...[[category theory|categories]], where elements are objects and each set of morphisms between two elements is at most singleton. Functions between orders become ...