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单词 Trivial topology
释义

Trivial topology

中文百科

密着拓扑

在拓扑学中,带有密着拓扑(trivial topology)的拓扑空间是其中仅有的开集是空集和整个空间的空间。这种空间有时叫做不可分空间(indiscrete space),它的拓扑有时叫做不可分拓扑。在直觉上,这有着所有点都被“粘着在一起”而通过拓扑方式不可区分的推论。

英语百科

Trivial topology 密着拓扑

In topology, a topological space with the trivial topology is one where the only open sets are the empty set and the entire space. Such a space is sometimes called an indiscrete space. Intuitively, this has the consequence that all points of the space are "lumped together" and cannot be distinguished by topological means; it belongs to a pseudometric space in which the distance between any two points is zero.

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更新时间:2025/6/16 22:35:58