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arXiv · 2005.05844

Fundamental pushouts of n-complicial sets

Viktoriya Ozornova·Martina Rovelli
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Abstract

The paper focuses on investigating how certain relations between strict $n$-categories are preserved in a particular implementation of $(\infty,n)$-categories, given by saturated $n$-complicial sets. In this model, we show that the $(\infty,n)$-categorical nerve of $n$-categories is homotopically compatible with $1$-categorical suspension and wedge. As an application, we show that certain pushouts encoding composition in $n$-categories are homotopy pushouts of saturated $n$-complicial sets.

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BibTeXRIS

Viktoriya Ozornova, Martina Rovelli. 2020-05-12. Fundamental pushouts of n-complicial sets. https://arxiv.org/abs/2005.05844

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