The Meaning of Mono and EPI in Some Familiar Categories
- 1 December 1965
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 8 (6) , 759-769
- https://doi.org/10.4153/cmb-1965-056-x
Abstract
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.Keywords
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