Polygraphs and Discrete Conduch{\'e} $\omega$-Functors

Léonard Guetta

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arXiv · 1812.05332

Polygraphs and Discrete Conduch{\'e} $\omega$-Functors

Léonard Guetta

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Abstract

We define a class of morphisms between strict $\omega$-categories called discrete Conduch{\'e} $\omega$-functors that generalize discrete Conduch{\'e} functors between 1-categories and we study their properties related to polygraphs. The main result we prove is that for every discrete Conduch{\'e} $\omega$-functor, if its target is a free strict $\omega$-category on a polygraph then so is its source.

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Léonard Guetta. 2018-12-13. Polygraphs and Discrete Conduch{\'e} $\omega$-Functors. https://arxiv.org/abs/1812.05332

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