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arXiv · 1004.1055

Coherence in monoidal track categories

Yves Guiraud·Philippe Malbos
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Abstract

We introduce homotopical methods based on rewriting on higher-dimensional categories to prove coherence results in categories with an algebraic structure. We express the coherence problem for (symmetric) monoidal categories as an asphericity problem for a track category and we use rewriting methods on polygraphs to solve it. The setting is extended to more general coherence problems, seen as 3-dimensional word problems in a track category, including the case of braided monoidal categories.

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Yves Guiraud, Philippe Malbos. 2010-04-07. Coherence in monoidal track categories. https://arxiv.org/abs/1004.1055

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