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        "quote": "> [!exercise] <a class=\"object-permalink\" href=\"#problem-10-22\">习题 10.22</a> \n>\n> 若 $G _ { 0 }$ 是局部连通拓扑群 $G$ 的单位元分支，则商群 $G / G _ { 0 }$ 称为 $G$ 的 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:a0657410-f98f-4bcb-9554-b3cc8a38759a\" data-concept-route=\"/concept-identities#concept-a0657410-f98f-4bcb-9554-b3cc8a38759a\" id=\"first-e01c979bb31a09870c08-zh\">分支群(group of components)</u>。证明分支群关于由自然投影映射 $\\pi : g \\mapsto g G _ { 0 }$ 诱导的拓扑构成一个离散拓扑群",
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