English Dictionary

standard topology

名詞

不可算名詞

(topology) The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.

日本語の意味

実数系における標準位相とは、1次元ユークリッド距離に基づいて定義された開球を基底として生成される位相のことを指します。

Convergence in the standard topology on the real line coincides with the usual notion of convergence of sequences.

実数の標準位相における収束は、列の通常の収束の概念と一致する。

意味（1）

(topology) The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric.

意味（2）

(topology) The topology of a Euclidean space ℝⁿ such that any subset of that space is open (i.e. belonging to the topology) if it can be written as a union of open balls from that space.