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Pullbacks in Regular Categories

Published online by Cambridge University Press:  20 November 2018

Jeanne Meisen
Jeanne Meisen*
Affiliation:
McGill University, Montreal, Quebec
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Extract

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Given a pair of maps

in a category, we would like to know whether they form part of a pullback diagram as follows:

I am indebted to Basil Rattray for mentioning the solution of this problem for the category of sets. Here we shall solve it for any regular category in the sense of Barr [1].

It will be useful to make the following definition.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973 , pp. 251 - 255
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Barr, M., Algèbre des Catégories—Catégories exactes, C.R. Acad. Sci. Paris, t.272 (1971), 1501–1503.Google Scholar