Open set - Kaishuugou (English spelling) open set

Japanese: 開集合 - かいしゅうごう（英語表記）open set
Open set - Kaishuugou (English spelling) open set
A set S is said to be open if all points in S are interior points. It can also be defined as the complement of a closed set. Open sets are often used to define the topology of a space. Examples of open sets include the interior of a circle in the Euclidean plane and open intervals on a line.

Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information

Japanese:
集合 S が開集合であるとは，S に属するすべての点が内点であることをいう。これは閉集合の補集合としても定義できる。ある空間の位相を定めるために，開集合を指定する方法がよく用いられる。開集合の例としては，ユークリッド平面上の円の内部，直線上の開区間などがある。

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