The Meaning of Mono and EPI in Some Familiar Categories

Author:

Burgess W.

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.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

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