English Dictionary

disjoint union topology

名詞

(topology) A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.

日本語の意味

disjoint union topology（非交和位相）とは、与えられた位相空間群の互いに交わらない合併に対して定義される位相であり、各構成位相空間の連続性を保持できるように、可能な限り多くの開集合を含む最大の位相である。

To prove the theorem, she examined the behavior of continuous functions under the disjoint union topology and found a useful characterization.

定理を証明するために、彼女は空間の直和に与えられる位相の下で連続写像の振る舞いを調べ、有用な特徴づけを見つけた。

意味（1）

(topology) A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.

The reader will recall that the morphism and object sets of A'=∐_(p,q∈P)A_c(q,p) were not necessarily given the disjoint union topologies.

disjoint union topologies （ plural ）