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A Duality of Quantale-Enriched Categories

2010/12/15 by Dirk Hofmann, Hofmann, Dirk, Paweł Waszkiewicz +2
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.CT

paper · pdf · doi:10.48550/arxiv.1012.3351

16 pages

arxiv created 2010/12/15 · arxiv updated 2010/12/16

Abstract

We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under an appropriate choice of morphisms, the category of J-cocomplete and J-continuous quantale-enriched categories is self-dual.

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