English

Non-canonical isomorphisms

Category Theory 2012-05-03 v1

Abstract

We give two examples of categorical axioms asserting that a canonically defined natural transformation is invertible where the invertibility of any natural transformation implies that the canonical one is invertible. The first example is distributive categories, the second (semi-)additive ones. We show that each follows from a general result about monoidal functors.

Keywords

Cite

@article{arxiv.0912.2126,
  title  = {Non-canonical isomorphisms},
  author = {Stephen Lack},
  journal= {arXiv preprint arXiv:0912.2126},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T14:22:27.875Z