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

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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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     title = {The {Meaning} of {Mono} and {EPI} in {Some} {Familiar} {Categories}},
     journal = {Canadian mathematical bulletin},
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