Codensity: Isbell duality, pro-objects, compactness and accessibility
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Pure and Applied Algebra |
| MU Faculty or unit | |
| 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. |
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