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ADJUNCTIONS BETWEEN CATEGORIES OF DOMAINS

Michael W. Mislove, Frank J. Oles

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Abstract

In this paper we show that there is no left adjoint to the inclusion functor from the full subcategory 𝒞0 of Scott domains (i.e., consistently complete ω–algebraic cpo's) to 𝒮ℱ𝒫, the category of 𝒮ℱ𝒫-objects and Scott-continuous maps. We also sho

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What this paper is about

In this paper we show that there is no left adjoint to the inclusion functor from the full subcategory 𝒞0 of Scott domains (i.e., consistently complete ω–algebraic cpo's) to 𝒮ℱ𝒫, the category of 𝒮ℱ𝒫-objects and Scott-continuous maps. We also sho

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Available abstract

In this paper we show that there is no left adjoint to the inclusion functor from the full subcategory 𝒞0 of Scott domains (i.e., consistently complete ω–algebraic cpo's) to 𝒮ℱ𝒫, the category of 𝒮ℱ𝒫-objects and Scott-continuous maps. We also sho

Key concepts: Computer science, Mathematics, Theoretical computer science, Epistemology, Philosophy

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