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单词 Locally Euclidean space
释义

Locally Euclidean space

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拓扑流形 Topological manifold

(重定向自Locally Euclidean space)

拓扑流形的定义为:拓扑空间\mathcal{M}在满足以下条件时,称\mathcal{M}m维流形,即

  1. \mathcal{M}为豪斯多夫空间,
  2. 对于任意一点p\in\mathcal{M},存在包含pm维坐标邻域(U,\varphi)
英语百科

Topological manifold 拓扑流形

(重定向自Locally Euclidean space)

In topology, a branch of mathematics, a topological manifold is a topological space (which may also be a separated space) which locally resembles real n-dimensional space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout mathematics.

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更新时间:2025/6/18 6:13:34