String diagrams for $4$-categories and fibrations of mapping $4$-groupoids

Manuel Araújo

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arXiv · 2012.03797

String diagrams for $4$-categories and fibrations of mapping $4$-groupoids

Manuel Araújo

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Abstract

We introduce a string diagram calculus for strict $4$-categories and use it to prove that given a cofinite inclusion of $4$-categorical presentations, the induced restriction functor on mapping spaces to a fixed target strict $4$-category is a fibration of strict $4$-groupoids.

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BibTeX RIS

Manuel Araújo. 2020-12-07. String diagrams for $4$-categories and fibrations of mapping $4$-groupoids. https://arxiv.org/abs/2012.03797

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