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        "quote": "在某些拓扑中，例如不可分拓扑，开集少到无法用不相交的邻域将不同的点分离开来。为弥补这一情形，人们有时会对拓扑空间施加称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:60db439c-bb38-47a0-bfe5-c7459f8e6090\" data-concept-route=\"/concept-identities#concept-60db439c-bb38-47a0-bfe5-c7459f8e6090\" id=\"first-7c8924d891a64b8be7b0-zh\">分离公理(separation axiom)</u> 的条件。其中最常见的一个是豪斯多夫条件：对于每一对点 $x$、$y \\in X$，存在 $x$ 的开邻域 $U$ 和 $y$ 的开邻域 $V$，使得 $U \\cap V = \\emptyset$。满足这一性质的拓扑空间称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:dd2edcc6-b7f4-409f-bb17-9ef6212acc44\" data-concept-route=\"/concept-identities#concept-dd2edcc6-b7f4-409f-bb17-9ef6212acc44\" id=\"first-1e9eb98fd11d8e6da435-zh\">豪斯多夫空间(Hausdorff space)</u>。从直观意义上说，豪斯多夫空间中任何一对不同的点都不会“任意地彼此接近”。",
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