Proves weak-equivalence of A infinity nerves in quasi-equivalent A infinity categories, suggesting foundational implications in homotopy theory.
The aim of this paper is to prove that the A∞ A ∞ -nerve of two quasi-equivalent A∞ A ∞ -categories (linear over a commutative ring) are weak-equivalent in the Joyal model structure. As a consequence we prove that the A∞ A ∞ -nerve of a pretriangulated A∞ A ∞ -category is a stable ∞ ∞ -category.
No takes yet. Share an insight, caveat, or question.
Mattia Ornaghi (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: