cvgmt: Limits and colimits in the category of Banach $L^0$-modules

Calculus of Variations and Geometric Measure Theory

E. Pasqualetto

Limits and colimits in the category of Banach $L^0$-modules

created by pasqualetto on 24 Nov 2022

[BibTeX]

preprint

Inserted: 24 nov 2022

Year: 2022

Abstract:

We prove that the category of Banach $L^0$-modules over a given $\sigma$-finite measure space is both complete and cocomplete, which means that it admits all small limits and colimits.