论文标题
有限拓扑空间与有限呈现的组之间的关系
Relation between finite topological spaces and finitely presentable groups
论文作者
论文摘要
在本文中，它显示了如何为给定有限呈现的组$ g $构建有限的拓扑空间$ x $，以便$π_1（x）\ cong g $。从空间$ x $的基数可能不是最小的，我们的构造并不是最佳的。我们的主要结果适用于包括所有有限组在内的大量有趣的群体。
In this paper it is shown how to construct a finite topological space $X$ for a given finitely presentable group $G$ such that $π_1(X)\cong G$. Our construction is not optimal in the sense that the cardinality of the space $X$ might not be the smallest possible. Our main result applies to a large class of interesting groups, including all finite groups.
