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Constructive complete distributivity. IV - MaRDI portal

Constructive complete distributivity. IV (Q1330904)

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scientific article; zbMATH DE number 617341
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Constructive complete distributivity. IV
scientific article; zbMATH DE number 617341

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    Constructive complete distributivity. IV (English)
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    10 August 1994
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    [For Part III see Can. Math. Bull. 35, No. 4, 537-547 (1992; Zbl 0760.06005).] The authors continue their work on constructive completely distributive (CCD) lattices, that is where the sup has a left adjoint. They prove that the Karoubian envelope of the bicategory of relations is biequivalent to the bicategory of CCD lattices and sup-preserving arrows. They also consider the subcategory of totally algebraic objects. Left exact versions are obtained and some projectives are characterized.
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    constructive completely distributive lattices
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    left exact versions
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    Karoubian envelope
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    bicategory of relations
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    bicategory of CCD lattices and sup-preserving arrows
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    subcategory of totally algebraic objects
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    projectives
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