论文标题
生成良好的张量三角类别的光谱
The spectrum of a well-generated tensor triangulated category
论文作者
论文摘要
对于张量三角类别和任何常规的红衣主教$α$，我们研究$α$的定位张量理想及其相关点的框架。对于良好的类别及其本地化张量理想的框架，我们提供的条件是通过完善$α$ -papact对象的三角形子类别的相应空间的拓扑来获得相关的空间。 $α= \ aleph_0 $的几个已知示例可以说明这一点，而新的空间则以$α> \ aleph_0 $的形式出现。
For a tensor triangulated category and any regular cardinal $α$ we study the frame of $α$-localizing tensor ideals and its associated space of points. For a well-generated category and its frame of localizing tensor ideals we provide conditions such that the associated space is obtained by refining the topology of the corresponding space for the triangulated subcategory of $α$-compact objects. This is illustrated by several known examples for $α=\aleph_0$, and new spaces arise for $α>\aleph_0$.
