English

Day convolution for infinity-categories

Category Theory 2016-01-08 v4 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.1308.4940,
  title  = {Day convolution for infinity-categories},
  author = {Saul Glasman},
  journal= {arXiv preprint arXiv:1308.4940},
  year   = {2016}
}

Comments

Revised version fixes a major error detected by Jay Shah

R2 v1 2026-06-22T01:13:35.426Z