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单词 Closure of a set
释义

Closure of a set

中文百科

闭包 (拓扑学) Closure (topology)

(重定向自Closure of a set)

数学上,在一个拓扑空间里,子集S闭包是指由S 内所有的点及S 的极限点所组成的一个集合;直观上来说,即为所有「靠近」S 的点所组成的集合。在子集S 的闭包内的点称为S闭包点。闭包的概念在许多方面能与内部的概念相模拟。

英语百科

Closure (topology) 闭包 (拓扑学)

(重定向自Closure of a set)

In mathematics, the closure of a subset S in a topological space consists of all points in S plus the limit points of S. The closure of S is also defined as the union of S and its boundary. Intuitively, these are all the points in S and "near" S. A point which is in the closure of S is a point of closure of S. The notion of closure is in many ways dual to the notion of interior.

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更新时间:2025/6/16 23:38:54