Day convolution for infinity-categories

2013/08/22 by Saul Glasman, Glasman, Saul
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1308.4940

openalex publication_date 2013/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given symmetric monoidal infinity-categories C and D, subject to mild hypotheses on D, we define an infinity-categorical analog of the Day convolution symmetric monoidal structure on the functor category Fun(C, D). An E_infinity monoid for the Day convolution product is a lax monoidal functor from C to D.

Cited by

• Multiplicative structures on algebraic K-theory

Related

• Hinich's model for Day convolution revisited
• A monoidal Grothendieck construction for ∞-categories
• Colimits in enriched ∞-categories and Day convolution
• (∞,n)-categories in context
• ∞-operads via symmetric sequences