Geodesic
Cauchy Completeness and Adjoints in Double Categories
Theory and applications of categories, Lawvere Festschrift, Tome 43 (2025), pp. 9-22 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We consider Cauchy completeness in the double categories of toposes, topological spaces, locales, and other suplattice based settings. We also present a uniform approach to the relationship between adjoints and projectivity in double categories with applications to (not-necessarily commutative) rings, rigs, and quantales.
Publié le :
Classification : 18N10, 18F70, 18F75, 18D20, 18G05
Keywords: double categories, Cauchy completeness, sober spaces, quantales, projectives 
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     author = {Susan Niefield},
     title = {Cauchy {Completeness} and {Adjoints} in {Double} {Categories}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2025_43_a0/}
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Susan Niefield. Cauchy Completeness and Adjoints in Double Categories. Theory and applications of categories, Lawvere Festschrift, Tome 43 (2025), pp. 9-22. http://geodesic.mathdoc.fr/item/TAC_2025_43_a0/