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arXiv · 2610.07017

An example of the non-existence of coequalizers in the category of the A$_{\infty}$-categories

Mattia Ornaghi
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Abstract

We prove that the categories of strictly unital (resp.\ non unital) A$_{\infty}$-algebras and A$_{\infty}$-categories, with strictly unital (resp.\ non unital) A$_{\infty}$-morphisms and A$_{\infty}$-functors have no coequalizers.

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Mattia Ornaghi. 2026-10-04. An example of the non-existence of coequalizers in the category of the A$_{\infty}$-categories. https://arxiv.org/abs/2610.07017

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