Coherence of Associativity in Categories with Multiplication

  title={Coherence of Associativity in Categories with Multiplication},
  author={Matthew G. Brin},
To say that C is a category with (functoral) multiplication means that there is a functor ⊗ : C → C called the multiplication where C is the category of pairs of objects and pairs of morphisms from C. [More technically, C is the category of functors and natural transformations from 2 to C where 2 is the category with objects 0 and 1, and the only morphisms are the identity morphisms.] Examples of functoral multiplications are cross products, tensor products, free products and so forth on those… CONTINUE READING

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  • Rice Univ. Studies
  • 1963
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