English

Zigzags and free adjunctions

Category Theory 2025-10-08 v1 Algebraic Topology

Abstract

We construct an explicit combinatorial model of the functor which adds right adjoints to the morphisms of an \infty-category, and we speculate on possible extensions to higher dimensions.

Keywords

Cite

@article{arxiv.2510.05371,
  title  = {Zigzags and free adjunctions},
  author = {Lorenzo Riva and Martina Rovelli},
  journal= {arXiv preprint arXiv:2510.05371},
  year   = {2025}
}

Comments

28 pages. Comments welcome!

R2 v1 2026-07-01T06:20:11.167Z