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A Construction of Subequalizers

Published online by Cambridge University Press:  20 November 2018

Fred Coppotelli
Fred Coppotelli*
Affiliation:
Virginia Polytechnic Institute and State University, Blacksburg, Virginia
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Given a pair of functors F, G:A→B, Lambek defines [1] the subequalizing category, E of (F, G) as the category with objects, ordered pairs (A, b) with A ∈ |A| and b:FA→GA a morphism of B. The morphisms of E from (A, b) to (A′, b′) are ordered triples (b, a, b′) where a:A→A′ is a morphism of A and G(a)b = b′F(a).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 3 , September 1973 , pp. 433
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Lambek, J., Subequalizers, Canad. Math. Bull. 13 (1970), 337–349.Google Scholar