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	https://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.
Related projects:	Injektivita a monády v algebře a topologii