Last Updated :2025/12/05

mathematical space

Noun
Japanese Meaning
数学や位相数学の文脈において、選定された数学的対象(点として扱われる)と、それらの間で特定の関係が定義された集合を指す。 / トポロジーにおける概念として、数学的対象を点と見なし、その点同士に対して所定の関係性を付与して構成された「空間」の定義。
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連続性と収束を研究するために、数学者はしばしば、どの対象を点とみなし、どの関係を成立させるかを選んで位相空間を定義する。

plural

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(topology) A set (a universe) that consists of selected mathematical objects that are treated as points, and selected relationships between them.

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mathematical space

To study continuity and convergence, mathematicians often define a mathematical space by choosing which objects are considered points and which relations hold between them.

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To study continuity and convergence, mathematicians often define a mathematical space by choosing which objects are considered points and which relations hold between them.

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