论文标题
按空格近似三角类别
Approximating triangulated categories by spaces
论文作者
论文摘要
我们对厚子类别的晶格进行系统研究，用于任意的基本三角形类别。为此，我们提供了几个示例，说明了这些晶格可能会或可能没有的各种属性，并表明一旦厚子类别的晶格分配，它就会自动成为空间框架。然后，我们构建了两个非交通频谱，一个功能和一个具有限制功能的功能，可以通过空格对这些晶格进行通用近似。
We initiate a systematic study of lattices of thick subcategories for arbitrary essentially small triangulated categories. To this end we give several examples illustrating the various properties these lattices may, or may not, have and show that as soon as a lattice of thick subcategories is distributive it is automatically a spatial frame. We then construct two non-commutative spectra, one functorial and one with restricted functoriality, that give universal approximations of these lattices by spaces.
