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The Meaning of Mono and EPI in Some Familiar Categories

Published online by Cambridge University Press:  20 November 2018

W. Burgess
W. Burgess*
Affiliation:
McGill University
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 8 , Issue 6 , December 1965 , pp. 759 - 769
Copyright
Copyright © Canadian Mathematical Society 1965

References

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