English Dictionary

underlying set

名詞

(topology) A set of "points" upon which a topology is built, thereby yielding a topological space. / (algebra) A set upon which some operations are defined, thereby yielding an algebraic structure.

日本語の意味

（位相）位相空間を構成するための点の集合 / （代数）代数的構造を定義するために操作が施される集合

To define a topology, start with the underlying set and then specify which subsets are open.

位相を定義するには、まず点の集合を取り、次にどの部分集合を開集合とするかを指定します。

意味（1）

(topology) A set of "points" upon which a topology is built, thereby yielding a topological space.

意味（2）

(algebra) A set upon which some operations are defined, thereby yielding an algebraic structure.

underlying sets （ plural ）