Last Updated:2025/11/26
Sentence

位相空間上で測度を定義する際には、通常、その開集合によって生成されるボレルσ代数をまず考えることから始めます。

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When defining measures on a topological space, it is common to begin by considering the Borel σ-algebra generated by its open sets.

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When defining measures on a topological space, it is common to begin by considering the Borel σ-algebra generated by its open sets.

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Related words

Borel σ-algebra

Noun
Japanese Meaning
与えられた位相空間の位相を含む、最小のσ-代数。つまり、位相空間に対して、その位相から生成される最小のσ-代数を指す。
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位相空間上で測度を定義する際には、通常、その開集合によって生成されるボレルσ代数をまず考えることから始めます。

Related Words

plural

English - English

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