### 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 â†’ Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.

Original language | English |
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Pages (from-to) | 475-480 |

Number of pages | 6 |

Journal | Bulletin of the Australian Mathematical Society |

Volume | 18 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1978 |

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## Cite this

Day, B. J. (1978). Duality in topological algebra.

*Bulletin of the Australian Mathematical Society*,*18*(3), 475-480. https://doi.org/10.1017/S0004972700008352