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【多选题】
设 是平面上的一个点集,p是 平面上的一个点,则点p与 点集 之间必存在以下关系:
A.
如果存在点p的 某一邻域都是E的子集, 则称点p为 点集E的 内点 。
B.
如果存在点 的某一邻域 与E的交集为空集, 则称点 为点集E的 外点 。
C.
如果点p的 任意一个邻域内既有属于点集E的 点也有不属于E的 点,则称点P 为E的 边界点 。
D.
没有关系。
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