Non-canonical isomorphisms

Details Non-canonical isomorphisms Non-canonical isomorphisms

2009-12-10

arxiv.org/abs/0912.2126v1

Mathematics

Category Theory

6 pages

Scientific paper

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.

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