Last Updated:2025/12/03
Sentence

直接極限を定義するために、数学者は図式を任意の2つの要素に共通の上界が存在するような順序が付けられた集合で添字付けすることが多い。

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To define a direct limit, mathematicians often index diagrams by a directed set so that every pair of indices has a common upper bound.

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To define a direct limit, mathematicians often index diagrams by a directed set so that every pair of indices has a common upper bound.

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Related words

directed set

Noun
Japanese Meaning
有向集合:前順序が定められた集合であり、任意の2つの要素 a と b に対して、a ≤ c かつ b ≤ c となる要素 c が存在するという性質を持つ集合。
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直接極限を定義するために、数学者は図式を任意の2つの要素に共通の上界が存在するような順序が付けられた集合で添字付けすることが多い。

Related Words

plural

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