论文标题

Banach $ L^0 $ -MODULES类别的限制和colimits

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

论文作者

Pasqualetto, Enrico

论文摘要

我们证明,在给定的$σ$ -finite度量空间上,Banach $ l^0 $ - 模块的类别既完整又合并,这意味着它承认所有小限制和colimits。

We prove that the category of Banach $L^0$-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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