Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T07:29:29.277Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

1. Birkhoff, G., Lattice Theory. A.M. S., multilithed notes, 1963.Google Scholar
2. Freyd, P., Abelian Categories. Harper and Row, New York, 1964.Google Scholar
3. Isbell, J. R., Uniform Spaces. Math. Surveys, A. M. S., Providence, 1964.Google Scholar
4. Kelley, J. L., General Topology. Van Nostrand, New York, 1955.Google Scholar
5. Kowalsky, H. Y., Kategorien Topologischer Räume. Math. Z, 77 (249-272).Google Scholar
6. Kurosh, A. G., The Theory of Groups, vol. II. Chelsea, New York, 1960.Google Scholar