English

A perfect pairing for monoidal adjunctions

Category Theory 2023-02-07 v4 Algebraic Topology

Abstract

We give another proof of the fact that there is a dual equivalence between the \infty-category of monoidal \infty-categories with left adjoint oplax monoidal functors and that with right adjoint lax monoidal functors by constructing a perfect pairing between them.

Keywords

Cite

@article{arxiv.2202.02493,
  title  = {A perfect pairing for monoidal adjunctions},
  author = {Takeshi Torii},
  journal= {arXiv preprint arXiv:2202.02493},
  year   = {2023}
}

Comments

10 pages, Section 5 in the previous version is separated to another article entitled "Uniqueness of monoidal adjunctions"

R2 v1 2026-06-24T09:21:26.540Z