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单词 Open neighborhood
释义

Open neighborhood

中文百科

邻域 Neighbourhood (mathematics)

(重定向自Open neighborhood)
在平面上集合V是点p的邻域,如果围绕p小圆盘包含在V中。
矩形不是它的任何一角的邻域。
平面上的集合S和S的一致邻域V。
A rectangle is not a neighbourhood of any of its corners.

在拓扑学和相关的数学领域中,邻域是拓扑空间中的基本概念。直觉上说,一个点的邻域是包含这个点的集合,并且该性质是外延的:你可以稍微“抖动”一下这个点而不离开这个集合。

这个概念密切关联于开集和内部的概念。

英语百科

Neighbourhood (mathematics) 邻域

(重定向自Open neighborhood)
A rectangle is not a neighbourhood of any of its corners.
矩形不是它的任何一角的邻域。

In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space. It is closely related to the concepts of open set and interior. Intuitively speaking, a neighbourhood of a point is a set containing the point where one can move that point some amount without leaving the set.

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更新时间:2025/6/19 21:03:28