Are Banach spaces monadic?

被引：4

作者：

Rosicky, J. ^{[1
]}

机构：

[1] Masaryk Univ, Dept Math & Stat, Brno, Czech Republic

来源：

COMMUNICATIONS IN ALGEBRA | 2022年 / 50卷 / 01期

关键词：

Locally presentable category; monadic category; complete metric space; Banach space;

D O I：

10.1080/00927872.2021.1956511

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：268 / 274

页数：7

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