论文标题
丰富本地生成的类别
Enriched Locally Generated Categories
论文作者
论文摘要
我们介绍了$ \ Mathcal {M} $的概念 - 分解系统$（\ Mathcal {E}，\ Mathcal {M}）$的本地生成的类别并研究其属性。我们为这些类别提供了Gabriel-ulmer二重性，引入了Nest的概念。我们也从丰富的角度发展了这一理论。我们将这项技术应用于Banach空间，表明它等同于有限维Banach空间巢的模型类别。
We introduce the notion of $\mathcal{M}$-locally generated category for a factorization system $(\mathcal{E},\mathcal{M})$ and study its properties. We offer a Gabriel-Ulmer duality for these categories, introducing the notion of nest. We develop this theory also from an enriched point of view. We apply this technology to Banach spaces showing that it is equivalent to the category of models of the nest of finite-dimensional Banach spaces.
