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arXiv · 2310.03503

Some Remarks on the Interchange in Gray-categories

Nicola Di Vittorio·Gabriele Lobbia
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Abstract

We prove a generalised interchange equality for 3-cells in a Gray-category, i.e. we show that it still holds modulo the unique isomorphism given by the Gray-categorical pasting theorem of Di Vittorio. This significantly simplifies many calculations in Gray-categories.

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Nicola Di Vittorio, Gabriele Lobbia. 2023-10-05. Some Remarks on the Interchange in Gray-categories. https://arxiv.org/abs/2310.03503

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