The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.
1) 列举尽可能多的拓扑群示例，这些示例不属于我们在泛函分析 9.1 节中给出的任何示例。
2) 证明同构的逆。
3) 证明对于每个 x ∈ G {\displaystyle x\in G} ，映射 L x ( y ) = x y {\displaystyle L_{x}(y)=xy} 和 R x ( y ) = y x {\displaystyle R_{x}(y)=yx} 是拓扑群同态。
4)
The Wikibooks community is developing a policy on the use of generative AI. Please review the draft policy and provide feedback on its talk page.
