Geodesic
The Meaning of Mono and EPI in Some Familiar Categories
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 759-769

Voir la notice de l'article provenant de la source Cambridge University Press

This expository note was prompted by some questions asked by Professor P. Hilton during his lectures "Catégories non-abétiennes" at the University of Montréal, July 1964.The descriptions of set functions as one to one and as onto can be characterized in terms of set function composition. A set function is one to one iff it has the left cancellation property, that is, f · g = f · h implies g = h. 
Burgess, W. The Meaning of Mono and EPI in Some Familiar Categories. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 759-769. doi: 10.4153/CMB-1965-056-x
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