Are Banach spaces monadic?

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Authors

ROSICKÝ Jiří

Year of publication 2022
Type Article in Periodical
Magazine / Source Communications in Algebra
MU Faculty or unit

Faculty of Science

Citation
Web https://www.tandfonline.com/doi/full/10.1080/00927872.2021.1956511
Doi http://dx.doi.org/10.1080/00927872.2021.1956511
Keywords Locally presentable category; monadic category; complete metric space; Banach space
Description We will show that Banach spaces are (a) monadic over complete metric spaces via the unit ball functor and (b) monadic over complete pointed metric spaces via the forgetful functor.
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