Coherence in Substructural Categories

Z. Petric

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Coherence in Substructural Categories

Z. Petric

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Abstract

It is proved that MacLane's coherence results for monoidal and symmetric monoidal categories can be extended to some other categories with multiplication; namely, to relevant, affine and cartesian categories. All results are formulated in terms of natural transformations equipped with ``graphs'' (g-natural transformations), and corresponding morphism theorems are given as consequences. Using these results, some basic relations between the free categories of these classes are obtained.

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Z. Petric. 2000-06-08. Coherence in Substructural Categories. https://arxiv.org/abs/math/0006061

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