Coherence in monoidal track categories
Category Theory
2012-11-13 v2
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.
Cite
@article{arxiv.1004.1055,
title = {Coherence in monoidal track categories},
author = {Yves Guiraud and Philippe Malbos},
journal= {arXiv preprint arXiv:1004.1055},
year = {2012}
}
Comments
32 pages