拓扑结构群上Rho映射的可加性
Additivity of the rho map on the topological structure group
摘要：
设M是维数为m的可定向拓扑流形，m ≥ 5，其基本群为$Γ$ .设S（M）为拓扑结构集，具有与Ranicki代数结构集相同的群结构。证明了（有理化）rho映射$ρ_Γ: S(M)\rightarrow K_{m+1} (D^*_Γ)\otimes \mathbb{Q}$是阿贝尔群的同态.
英文摘要：
Let M be an orientable topological manifold of dimension m, m greater or equal to 5, with fundamental group $Γ$. Let S(M) be the topological structure set, endowed with the group structure induced by its identification with Ranicki's algebraic structure set. We prove that the (rationalized) rho map $ρ_Γ: S(M)\rightarrow K_{m+1} (D^*_Γ)\otimes \mathbb{Q}$ is a homomorphism of abelian groups.
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