平移有限集
Translation-finite sets
摘要：
定义了离散无限群$Γ$的右（左）平移有限子集族，并证明了它们是理想。它们的核$Z_R$和$Z_L$被标识为在Čech-Stone紧化$βΓ$中的乘积集$pq$（$p\cdot q$）的闭包。从而证明了从$βΓ$到$Γ^{WAP}$的标准半群同态映射$π: βΓ\to Γ^{WAP}$是$Z_R \cup Z_L$的补上的同胚映射.
英文摘要：
The families of right (left) translation finite subsets of a discrete infinite group $Γ$ are defined and shown to be ideals. Their kernels $Z_R$ and $Z_L$ are identified as the closure of the set of products $pq$ ($p\cdot q$) in the Čech-Stone compactification $βΓ$. Consequently it is shown that the map $π: βΓ\to Γ^{WAP}$, the canonical semigroup homomorphism from $βΓ$ onto $Γ^{WAP}$, the universal semitopological semigroup compactification of $Γ$, is a homeomorphism on the complement of $Z_R \cup Z_L$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
