论文标题
在群体和同构的一些拓扑结论中
On some topological realizations of groups and homomorphisms
论文作者
论文摘要
让$ f：g \ rightarrow h $是群体的同构，我们构建拓扑空间$ x_f $，以使其同构同构对$ g $都是同构的，其同型的自我态度等价类别是$ h $的同性恋等值等同型，以及$ h $的同源图和自然图$ equive of Equive $ x_______________ $ x_f $的$ f $。此外，还考虑了涉及同源性，同型组和汽车组的实现问题。
Let $f:G\rightarrow H$ be a homomorphism of groups, we construct a topological space $X_f$ such that its group of homeomorphisms is isomorphic to $G$, its group of homotopy classes of self-homotopy equivalences is isomorphic to $H$ and the natural map between the group of homeomorphisms of $X_f$ and the group of homotopy classes of self-homotopy equivalences of $X_f$ is precisely $f$. In addition, realization problems involving homology, homotopy groups and groups of automorphisms are considered.
