English Dictionary

regular closed

形容詞

比較不可 集合 稀用

(rare, mathematics, of a set) Being the closure of its interior.

日本語の意味

数学において、ある集合がその内部の閉包と等しい、つまり内部の閉包である性質を示す形容詞です。

In many topology texts, a regular closed set is defined as a set that equals the closure of its interior.

多くの位相論の教科書では、正則閉集合はその内部の閉包に等しい集合として定義される。

意味（1）

(rare, mathematics, of a set) Being the closure of its interior.

The set {0,1,2} is closed, but is not regular closed, because its interior is Ø, so the closure of its interior is Ø.