论文标题
关于映射有限空间的班级组的注意
Note on Mapping Class Groups of Finite Spaces
论文作者
论文摘要
我们研究了包括有限空间的一组非Hausdorff拓扑空间的映射类组。我们表明，有限空间的映射类组是其$ T_0 $商的同构组的同构。作为推论，我们表明每个有限组都是一些有限的$ t_0 $空间的映射类组。
We investigate the mapping class groups of a class of non-Hausdorff topological spaces which includes finite spaces. We show that the mapping class group of a finite space is isomorphic to the homeomorphism group of its $T_0$ quotient. As a corollary, we show that every finite group is the mapping class group of some finite, $T_0$ space.
