Duality in topological algebra

B. J. Day*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)


    Aspects of duality relating to compact totally disconnected universal algebras are considered. It is shown that if P is a ““basic“ set of injectives in a variety of compact totally disconnected algebras then the category P of P-copresentable objects is in duality with the class of all G-copresentable algebras on P, where G: P → Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.

    Original languageEnglish
    Pages (from-to)475-480
    Number of pages6
    JournalBulletin of the Australian Mathematical Society
    Issue number3
    Publication statusPublished - 1978


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