2025/05/20 by Francesca Pratali, Pratali, Francesca
Agricultural and Biological Sciences · #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Plant nutrient uptake and metabolism #Potato Plant Research
paper · pdf · doi:10.48550/arxiv.2505.14288
openalex publication_date 2025/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we show that any ∞-operad is equivalent to the localization of a discrete Σ-free operad; this result extends Joyal's delocalization theorem for categories to the operadic setting. Along the way, we pursue a systematic study of ∞-operadic localization in the dendroidal context and its compatibility with un/straightening equivalences, deducing another description of algebras over ∞-operads.