Definition of Coequaliser. Meaning of Coequaliser. Synonyms of Coequaliser

Here you will find one or more explanations in English for the word Coequaliser. Also in the bottom left of the page several parts of wikipedia pages related to the word Coequaliser and, of course, Coequaliser synonyms and on the right images related to the word Coequaliser.

Definition of Coequaliser

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Meaning of Coequaliser from wikipedia

- In category theory, a coequalizer (or coequaliser) is a generalization of a quotient by an equivalence relation to objects in an arbitrary category. It...
- from A to B exists (this is by definition the kernel of f), as does the coequaliser (this is by definition the cokernel of f). Note that the zero morphism...
- f and the zero morphism from A to B, while the cokernel of f is the coequaliser of f and this zero morphism. Unlike with products and coproducts, the...
- category with fibre products (pullbacks) and products has equalisers. Coequaliser, the dual notion, obtained by reversing the arrows in the equaliser definition...
- A)\rightarrow \pi _{1}(X,A)} of morphisms induced by inclusions is a coequaliser in the category of groupoids. [...] people still obstinately persist...