Geodesic
Cauchy Completeness and Adjoints in Double Categories
Theory and applications of categories, Lawvere Festschrift, Tome 43 (2025), pp. 9-22.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

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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     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/