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Duality in topological algebra

Publisher： Cambridge University Press

E-ISSN： 1755-1633|18|3|475-480

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.18, Iss.3, 1978-06, pp. : 475-480

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Abstract

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.

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