Notes on Multiple Higher Category Theory

Camell Kachour

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arXiv · 1702.05206

Notes on Multiple Higher Category Theory

Camell Kachour

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Abstract

These notes follows the articles \cite{kamel, Cam, cam-cubique} which show how powerful can be the method of \textit{Stretchings} initiated with the \textit{Globular Geometry} by Jacques Penon in \cite{penon} , to weakened \textit{strict higher structures}. Here we adapt this method to weakened strict multiple $\infty$-categories, strict multiple $(\infty,m)$-categories, and in particular we obtain algebraic models of weak multiple $\infty$-groupoids.

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Camell Kachour. 2017-02-17. Notes on Multiple Higher Category Theory. https://arxiv.org/abs/1702.05206

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