论文标题
嵌入拓扑组均匀度量的定理
An embedding theorem for uniform measures on topological groups
论文作者
论文摘要
Roelcke和Dierolf定理完成了拓扑组的四个标准统一结构，其商在统一度量的空间中更普遍地保持。拓扑组均匀度量的四个均匀度量空间之间的自然映射是注入性的，它们对正锥的限制是拓扑嵌入。中性亚组对拓扑组的商的商人的均匀度量的空间也是如此。
The embedding theorem of Roelcke and Dierolf for the completions of four standard uniform structures on topological groups and their quotients holds more generally for spaces of uniform measures. The natural mappings between the four spaces of uniform measures on a topological group are injective and their restrictions to positive cones are topological embeddings. The same holds for spaces of uniform measures on the quotient of a topological group by a neutral subgroup.
