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arXiv · 2407.05532

Unitalities and mapping spaces in $A_\infty$-categories

Hiro Lee Tanaka
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Abstract

We prove, over any base ring, that the infinity-category of strictly unital A-infinity-categories (and strictly unital functors) is equivalent to the infinity-category of unital A-infinity-categories (and unital functors). We also identify various models for internal homs and mapping spaces in the infinity-categories of dg-categories and of A-infinity--categories, generalizing results of To\"en and Faonte.

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Hiro Lee Tanaka. 2024-07-08. Unitalities and mapping spaces in $A_\infty$-categories. https://arxiv.org/abs/2407.05532

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