Last Updated：2025/11/25

(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S.

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interior point

Source Word

interior point

Noun

(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S.

Japanese Meaning

集合Sの内部にあって、その点を中心とするある開近傍全体がSに含まれる点

To prove the set is open, show that every interior point has a neighbourhood contained entirely within the set.

集合が開集合であることを示すには、集合の内点がそれぞれその集合に完全に含まれる近傍を持つことを示せばよい。

Sense（1）

(mathematics, topology) A point in a set S that has a neighbourhood which is contained in S.

interior points

（ plural ）