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
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.