Last Updated :2025/11/26

σ-compact

Adjective
not-comparable of a set in a topological space
Japanese Meaning
位相空間において、対象の集合が可算個のコンパクトな集合の合併で表せる性質(すなわち、可算合併可能なコンパクト集合群によって構成されること)
What is this buttons?

可算個のコンパクト集合の合併として表される位相空間は、しばしば全体的な問題を可算個のコンパクトな場合に帰着させることができるため、解析における多くの証明が扱いやすくなる。

Quizzes for review

(mathematical analysis, of a set in a topological space) That is expressible as a countable union of compact sets.

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σ-compact

A σ-compact space often allows one to reduce global problems to a countable sequence of compact cases, which makes many proofs in analysis more manageable.

See correct answer

A σ-compact space often allows one to reduce global problems to a countable sequence of compact cases, which makes many proofs in analysis more manageable.

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