Limits and colimits in the category of Banach L⁰-modules

2022/11/23 by Enrico Pasqualetto, Pasqualetto, Enrico
Medicine · Mathematics · #Intracranial Aneurysms: Treatment and Complications #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2211.13197

Abstract

We prove that the category of Banach L⁰-modules over a given σ-finite measure space is both complete and cocomplete, which means that it admits all small limits and colimits.

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