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单词 Lindelof Space
释义

Lindelof Space

中文百科

林德勒夫空间 Lindelöf space

(重定向自Lindelof Space)

Lindelöf 空间是每个开覆盖都有可数子覆盖的拓扑空间。注意紧空间的定义为每个开覆盖都有有限子覆盖,故林德勒夫空间可视为紧空间的推广。

英语百科

Lindelöf space 林德勒夫空间

In mathematics, a Lindelöf space is a topological space in which every open cover has a countable subcover. The Lindelöf property is a weakening of the more commonly used notion of compactness, which requires the existence of a finite subcover.

A strongly Lindelöf space is a topological space such that every open subspace is Lindelöf. Such spaces are also known as hereditarily Lindelöf spaces, because all subspaces of such a space are Lindelöf.

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更新时间:2025/6/20 12:27:15