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Some obstacles to duality in topological algebra

1982
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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Introduction. Functors $ \sé -» £ë, Y \3i ->seform an equivalence of categories (see [8,]) if T($(A)) ^ A and $(r(5)) ^ B naturally for all objects A ivoms/ and B from 3S. Lettings/* denote the opposite of s/ y we say that s/ and Se are dual if there is an equivalence between J/* and SB. Let r be a similarity type of finitary operation symbols. We let L T denote the first order language (with equality) using nonlogical symbols from r, and consider the class <Jé r of all algebras of type r as a

doi:10.4153/cjm-1982-008-6
fatcat:374vtxoq4zb4dofxhtel2jxbgu