Geodesic
Generalized congruences -- Epimorphisms in Cat
Theory and applications of categories, Tome 5 (1999), pp. 266-280 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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The paper generalizes the notion of a congruence on a category and pursues some of its applications. In particular, generalized congruences are used to provide a concrete construction of coequalizers in ${\cal C}at$. Extremal, regular and various other classes of epimorphic functors are characterized and inter-related.

Classification : 18A05, 18A20, 18A30, 18A32, 18B99.
Keywords: congruence, epimorphic functor, coequalizer, category of small categories. 
@article{TAC_1999_5_a10,
     author = {Marek A. Bednarczyk and Andrzej M. Borzyszkowski and Wieslaw Pawlowski},
     title = {Generalized congruences -- {Epimorphisms} in {Cat}},
     journal = {Theory and applications of categories},
     pages = {266--280},
     year = {1999},
     volume = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1999_5_a10/}
}
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%J Theory and applications of categories
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Marek A. Bednarczyk; Andrzej M. Borzyszkowski; Wieslaw Pawlowski. Generalized congruences -- Epimorphisms in Cat. Theory and applications of categories, Tome 5 (1999), pp. 266-280. http://geodesic.mathdoc.fr/item/TAC_1999_5_a10/