Codensity: Isbell duality, pro-objects, compactness and accessibility
| Autoři | |
|---|---|
| Rok publikování | 2020 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Pure and Applied Algebra |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1016/j.jpaa.2020.106379 |
| Doi | http://dx.doi.org/10.1016/j.jpaa.2020.106379 |
| Klíčová slova | quantale; monads; bicategory |
| Popis | 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. |
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