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| Examples | |
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Consider the case of a monoidal category. Recall that part of the data of a monoidal category is an associator, which is a choice of morphism
for each triple of objects A,B,C. Mac lane's coherence theorem states that, provided the following diagram commutes for all quadruples of objects A,B,C,D,
any pair of morphisms from to constructed a compositions of various αA,B,C are equal.
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| References | |
| 2>
Mac Lane, Saunders (1971). "Categories for the working mathematician". Graduate texts in mathematics Springer-Verlag. Especially Chapter VII.
Retrieved from "http://en.wikipedia.org/w/index.php?title=Coherence_theorem&oldid=387463288"
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