Non-canonical isomorphisms

Stephen Lack*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    4 Citations (Scopus)


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

    Original languageEnglish
    Pages (from-to)593-597
    Number of pages5
    JournalJournal of Pure and Applied Algebra
    Issue number3
    Publication statusPublished - Mar 2012

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