Codensity: Isbell duality, pro-objects, compactness and accessibility

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Authors	DI LIBERTI Ivan
Year of publication	2020
Type	Article in Periodical
Magazine / Source	Journal of Pure and Applied Algebra
MU Faculty or unit	Faculty of Science
Citation
Web	https://doi.org/10.1016/j.jpaa.2020.106379
Doi	http://dx.doi.org/10.1016/j.jpaa.2020.106379
Keywords	quantale; monads; bicategory
Description	We study codensity monads T induced by (mostly small, mostly dense) full subcategories A subset of K. These monads behave quite similarly, we show some connections with the Isbell duality, pro-finite objects and compact spaces. We prove that they are quite unlikely to be accessible. Finally, we introduce the notion of generically idempotent monad and comment its properties.
Related projects:	Injektivita a monády v algebře a topologii