闭集 Closed set
(重定向自Closed subset)

在拓扑空间中,闭集是指其补集为开集的集合。在一个拓扑空间内,闭集可以定义为一个包含所有其极限点的集合。在完备度量空间中,一个闭集的极限运算是闭合的。
单词 | Closed subset |
释义 |
Closed subset
中文百科
闭集 Closed set(重定向自Closed subset)
![]() 在拓扑空间中,闭集是指其补集为开集的集合。在一个拓扑空间内,闭集可以定义为一个包含所有其极限点的集合。在完备度量空间中,一个闭集的极限运算是闭合的。
英语百科
Closed set 闭集(重定向自Closed subset)
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a closed set is a set which is closed under the limit operation. |
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