PreprintarXiv licencearXiv
An example of the non-existence of coequalizers in the category of the A∞-categories
Abstract
We prove that the categories of strictly unital (resp.\ non unital) A∞-algebras and A∞-categories, with strictly unital (resp.\ non unital) A∞-morphisms and A∞-functors have no coequalizers.
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BibTeX
@misc{ornaghi2026example,
title = {{An example of the non-existence of coequalizers in the category of the A$_\infty$-categories}},
author = {Mattia Ornaghi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07017},
eprint = {2610.07017},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07017},
}
RIS
TY - UNPB
TI - An example of the non-existence of coequalizers in the category of the A_∞-categories
AU - Mattia Ornaghi
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.07017
UR - https://arxiv.org/abs/2610.07017
AB - We prove that the categories of strictly unital (resp.\ non unital) A_∞-algebras and A_∞-categories, with strictly unital (resp.\ non unital) A_∞-morphisms and A_∞-functors have no coequalizers.
ER -