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Braided Premonoidal Coherence

W. P. Joyce

math.CTarXiv:math/0306371

Abstract

Given a category with a bifunctor and natural isomorphisms for associativity, commutativity and left and right identity we do not assume that extra constraining diagrams hold. We introduce groupoids of coupling trees to describe a version of coherence that is weaker than the usual notion of monoidal coherence.

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