Some Properties of the $\text{ A}_{\infty }$-Nerve

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2026年3月2日

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Mattia Ornaghi

摘要

The aim of this paper is to prove that the $\text{ A}_{\infty }$ $A_{\infty}$ -nerve of two quasi-equivalent $\text{ A}_{\infty }$ $A_{\infty}$ -categories (linear over a commutative ring) are weak-equivalent in the Joyal model structure. As a consequence we prove that the $\text{ A}_{\infty }$ $A_{\infty}$ -nerve of a pretriangulated $\text{ A}_{\infty }$ $A_{\infty}$ -category is a stable $\infty $ $\infty$ -category.

Some Properties of the \(\text{ A}_{\infty }\)-Nerve

摘要