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arXiv · 2608.04526

A Remark on Static Animations

Emile Bouaziz
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Abstract

We record a general condition guaranteeing that the animation of a small $1$-category remains a $1$-category. The proof is extremely elementary universal algebra. This recovers as a very special case the striking observation of Antieau, \cite{Ant}, that the animation of $\fnt^{\mathrm{op}}$ is a $1$-category. Our result is a fair amount more general, and for example applies to $\fnt^{\mathrm{op}}_{\mathcal{G}}$ with $\mathcal{G}$ a groupoid, as well as beyond this.

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Emile Bouaziz. 2026-08-05. A Remark on Static Animations. https://arxiv.org/abs/2608.04526

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